• 360 can be written using four 4's:

360 has 24 divisors (see below), whose sum is σ = 1170. Its totient is φ = 96.

The previous prime is 359. The next prime is 367. The reversal of 360 is 63.

360 = T_{3} + T_{4} + ... +
T_{12}.

It is a Cunningham number, because it is equal to 19^{2}-1.

It can be written as a sum of positive squares in only one way, i.e., 324 + 36 = 18^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 16.

It is a nialpdrome in base 3, base 8 and base 9.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (367) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70 + ... + 74.

360 is a highly composite number, because it has more divisors than any smaller number.

360 is a superabundant number, because it has a larger abundancy index than any smaller number.

360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585).

360 is an abundant number, since it is smaller than the sum of its proper divisors (810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

360 is a wasteful number, since it uses less digits than its factorization.

360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 360 is about 18.9736659610. The cubic root of 360 is about 7.1137866090.

Adding to 360 its product of nonzero digits (18), we get a triangular number (378 = T_{27}).

The spelling of 360 in words is "three hundred sixty", and thus it is an aban number and an oban number.

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