875264 has 36 divisors (see below), whose sum is σ = 1888656. Its totient is φ = 402432.

The previous prime is 875263. The next prime is 875267. The reversal of 875264 is 462578.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 875264.

It is not an unprimeable number, because it can be changed into a prime (875261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3197 + ... + 3459.

2⁸⁷⁵²⁶⁴ 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 875264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944328).

875264 is an abundant number, since it is smaller than the sum of its proper divisors (1013392).

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

875264 is a wasteful number, since it uses less digits than its factorization.

875264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 278 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 875264 is about 935.5554499868. Note that the first 3 decimals coincide. The cubic root of 875264 is about 95.6561774824.

Subtracting from 875264 its reverse (462578), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 875264 in words is "eight hundred seventy-five thousand, two hundred sixty-four".