875952 has 120 divisors (see below), whose sum is σ = 3095040. Its totient is φ = 224640.

The previous prime is 875947. The next prime is 875969. The reversal of 875952 is 259578.

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

It is a congruent number.

It is an unprimeable number.

875952 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 23 ways as a sum of consecutive naturals, for example, 11049 + ... + 11127.

It is an arithmetic number, because the mean of its divisors is an integer number (25792).

2⁸⁷⁵⁹⁵² 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 875952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547520).

875952 is an abundant number, since it is smaller than the sum of its proper divisors (2219088).

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

875952 is a wasteful number, since it uses less digits than its factorization.

875952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 102 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 875952 is about 935.9230737619. The cubic root of 875952 is about 95.6812343849.

The spelling of 875952 in words is "eight hundred seventy-five thousand, nine hundred fifty-two".