576864 has 36 divisors (see below), whose sum is σ = 1641276. Its totient is φ = 192192.

The previous prime is 576791. The next prime is 576881. The reversal of 576864 is 468675.

It is a happy number.

576864 is a `hidden beast` number, since 576 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

576864 is a modest number, since divided by 864 gives 576 as remainder.

It is a congruent number.

It is an unprimeable number.

576864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 714 + ... + 1289.

It is an arithmetic number, because the mean of its divisors is an integer number (45591).

2⁵⁷⁶⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

576864 is an abundant number, since it is smaller than the sum of its proper divisors (1064412).

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

576864 is a wasteful number, since it uses less digits than its factorization.

576864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2008 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 576864 is about 759.5156351254. The cubic root of 576864 is about 83.2449338150.

It can be divided in two parts, 5768 and 64, that added together give a cube (5832 = 18³).

The spelling of 576864 in words is "five hundred seventy-six thousand, eight hundred sixty-four".