360576 has 48 divisors (see below), whose sum is σ = 1040910. Its totient is φ = 119808.

The previous prime is 360551. The next prime is 360589. The reversal of 360576 is 675063.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 576 = 600^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 996 + ... + 1308.

2³⁶⁰⁵⁷⁶ is an apocalyptic number.

360576 is a gapful number since it is divisible by the number (36) 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 360576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520455).

360576 is an abundant number, since it is smaller than the sum of its proper divisors (680334).

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

360576 is a wasteful number, since it uses less digits than its factorization.

360576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 360576 is about 600.4798081534. The cubic root of 360576 is about 71.1757860682.

It can be divided in two parts, 36057 and 6, that added together give a palindrome (36063).

The spelling of 360576 in words is "three hundred sixty thousand, five hundred seventy-six".