360（Three hundred sixty） is the natural number following 359 and preceding 361.

In mathematics

• Divisors are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 and 360. (A total of 24 divisors.)

• 360 makes a highly composite number. Not only is 360 highly composite, but also no number less than twice as much has more divisors. 360 is also a superior highly composite number and a colossally abundant number.

• 360 is the smallest number divisible by every number from 1 to 10 except 7.

• One of 360's divisors is 72, which is the number of primes below it.

• The sum of Euler's totient function φ(x) over the first thirty-four integers is 360.

• A circle is divided into 360 degrees for the purpose of angular measurement. 360° is also called round angle.

360 is a convenient standard since, 360 being highly composite, it allows a circle to be divided into equal segments with each segment measured in integer degrees rather than fractional degrees.

• 360° = 2 π rad

• 360 is the sum of a twin prime (179 + 181).

In other fields

• A sports move where a player spins or rotates a full 360 degrees.
• A year is roughly calculated as 360 days. (→See calendar.)
• Shorthand for panoramic photographs and virtual reality worlds, since it is the degree measurement of a circle.
• 360 is a telephone area code for most of Western Washington state (includes Bellingham, Aberdeen, Olympia, but excludes Seattle area, which is area code 206).
• 360 is the U.S. Citizenship and Immigration Services I-form Petition for Amerasian, Widow(er), or Special Immigrant.
• For the year AD 360, see 360.
• Anderson Cooper 360° is a CNN television news program.
• System/360 is a computing architecture from IBM.
• Xbox 360 is a game console from Microsoft released in 2005.
• Circle-Vision 360°.
• Yahoo! 360º is Yahoo!'s blogging platform.

Reference

• Wells, D. (1987). The Penguin Dictionary of Curious and Interesting Numbers (p. 152). London: Penguin Group.

Integers.

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