870368004 has 135 divisors (see below), whose sum is σ = 2517862501. Its totient is φ = 261977760.

The previous prime is 870367991. The next prime is 870368027. The reversal of 870368004 is 400863078.

The square root of 870368004 is 29502.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 101969604 + 768398400 = 10098^2 + 27720^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 870368004.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5841322 + ... + 5841470.

Almost surely, 2^870368004 is an apocalyptic number.

870368004 is the 29502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870368004

870368004 is an abundant number, since it is smaller than the sum of its proper divisors (1647494497).

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

870368004 is a wasteful number, since it uses less digits than its factorization.

870368004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 870368004 is about 954.7748540455.

Multiplying 870368004 by its sum of digits (36), we get a square (31333248144 = 177012²).

870368004 divided by its sum of digits (36) gives a square (24176889 = 4917²).

The spelling of 870368004 in words is "eight hundred seventy million, three hundred sixty-eight thousand, four".