879552 has 56 divisors (see below), whose sum is σ = 2590800. Its totient is φ = 292608.

The previous prime is 879539. The next prime is 879553. The reversal of 879552 is 255978.

879552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×879552² = 1547223441408, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879553) by changing a digit.

879552 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 7 ways as a sum of consecutive naturals, for example, 1474 + ... + 1982.

2⁸⁷⁹⁵⁵² 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 879552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295400).

879552 is an abundant number, since it is smaller than the sum of its proper divisors (1711248).

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

879552 is a wasteful number, since it uses less digits than its factorization.

879552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 514 counting only the distinct ones).

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

The square root of 879552 is about 937.8443367638. The cubic root of 879552 is about 95.8121325923.

It can be divided in two parts, 879 and 552, that added together give a triangular number (1431 = T₅₃).

The spelling of 879552 in words is "eight hundred seventy-nine thousand, five hundred fifty-two".