852172864 has 63 divisors (see below), whose sum is σ = 1752975031. Its totient is φ = 411023360.

The previous prime is 852172847. The next prime is 852172877. The reversal of 852172864 is 468271258.

It is a happy number.

The square root of 852172864 is 29192.

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

It can be written as a sum of positive squares in 4 ways, for example, as 519475264 + 332697600 = 22792^2 + 18240^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 852172864.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9574932 + ... + 9575020.

Almost surely, 2^852172864 is an apocalyptic number.

852172864 is the 29192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852172864

852172864 is an abundant number, since it is smaller than the sum of its proper divisors (900802167).

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

852172864 is an frugal number, since it uses more digits than its factorization.

852172864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 132 counting only the distinct ones).

The product of its digits is 215040, while the sum is 43.

The cubic root of 852172864 is about 948.0747209763.

The spelling of 852172864 in words is "eight hundred fifty-two million, one hundred seventy-two thousand, eight hundred sixty-four".