360864 has 72 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 102528.

The previous prime is 360863. The next prime is 360869. The reversal of 360864 is 468063.

It is a tau number, because it is divible by the number of its divisors (72).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360864.

It is not an unprimeable number, because it can be changed into a prime (360863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1927 + ... + 2105.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2³⁶⁰⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

360864 is an abundant number, since it is smaller than the sum of its proper divisors (818496).

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

360864 is a wasteful number, since it uses less digits than its factorization.

360864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 360864 is about 600.7195685176. The cubic root of 360864 is about 71.1947309150.

The spelling of 360864 in words is "three hundred sixty thousand, eight hundred sixty-four".