878592 has 96 divisors (see below), whose sum is σ = 2751840. Its totient is φ = 245760.

The previous prime is 878573. The next prime is 878593. The reversal of 878592 is 295878.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 878592.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 878592.

It is not an unprimeable number, because it can be changed into a prime (878593) by changing a digit.

878592 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, 67578 + ... + 67590.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2⁸⁷⁸⁵⁹² 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 878592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375920).

878592 is an abundant number, since it is smaller than the sum of its proper divisors (1873248).

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

878592 is a wasteful number, since it uses less digits than its factorization.

878592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 29 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 878592 is about 937.3323850161. The cubic root of 878592 is about 95.7772613807. Note that the first 3 decimals are identical.

The spelling of 878592 in words is "eight hundred seventy-eight thousand, five hundred ninety-two".