875664 has 40 divisors (see below), whose sum is σ = 2514720. Its totient is φ = 291744.

The previous prime is 875663. The next prime is 875681. The reversal of 875664 is 466578.

It is a happy number.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 875664.

It is not an unprimeable number, because it can be changed into a prime (875663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (62868).

2⁸⁷⁵⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

875664 is an abundant number, since it is smaller than the sum of its proper divisors (1639056).

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

875664 is a wasteful number, since it uses less digits than its factorization.

875664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2032 counting only the distinct ones).

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

The square root of 875664 is about 935.7692023143. The cubic root of 875664 is about 95.6707470461.

The spelling of 875664 in words is "eight hundred seventy-five thousand, six hundred sixty-four".