875864 has 32 divisors (see below), whose sum is σ = 1846800. Its totient is φ = 385920.

The previous prime is 875851. The next prime is 875893. The reversal of 875864 is 468578.

It is a d-powerful number, because it can be written as 8 + 7⁷ + 8⁵ + 5⁵ + 6² + 4⁷ .

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 875864.

It is an unprimeable number.

875864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3122 + ... + 3390.

2⁸⁷⁵⁸⁶⁴ 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 875864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923400).

875864 is an abundant number, since it is smaller than the sum of its proper divisors (970936).

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

875864 is a wasteful number, since it uses less digits than its factorization.

875864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 875864 is about 935.8760601704. The cubic root of 875864 is about 95.6780301642.

Subtracting from 875864 its sum of digits (38), we obtain a triangular number (875826 = T₁₃₂₃).

The spelling of 875864 in words is "eight hundred seventy-five thousand, eight hundred sixty-four".