879264 has 72 divisors (see below), whose sum is σ = 2594592. Its totient is φ = 282240.

The previous prime is 879259. The next prime is 879269. The reversal of 879264 is 462978.

It is an interprime number because it is at equal distance from previous prime (879259) and next prime (879269).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a d-powerful number, because it can be written as 8⁵ + 7⁷ + 2 + 9⁴ + 6 + 4⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879269) by changing a digit.

879264 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 11 ways as a sum of consecutive naturals, for example, 12349 + ... + 12419.

It is an arithmetic number, because the mean of its divisors is an integer number (36036).

2⁸⁷⁹²⁶⁴ 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 879264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297296).

879264 is an abundant number, since it is smaller than the sum of its proper divisors (1715328).

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

879264 is a wasteful number, since it uses less digits than its factorization.

879264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 879264 is about 937.6907805881. The cubic root of 879264 is about 95.8016738942.

The spelling of 879264 in words is "eight hundred seventy-nine thousand, two hundred sixty-four".