815536920 has 128 divisors (see below), whose sum is σ = 2826109440. Its totient is φ = 186071040.

The previous prime is 815536847. The next prime is 815536951. The reversal of 815536920 is 29635518.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4269 + ... + 40611.

It is an arithmetic number, because the mean of its divisors is an integer number (22078980).

Almost surely, 2^815536920 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 815536920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413054720).

815536920 is an abundant number, since it is smaller than the sum of its proper divisors (2010572520).

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

815536920 is a wasteful number, since it uses less digits than its factorization.

815536920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36385 (or 36381 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 815536920 is about 28557.6070426078. The cubic root of 815536920 is about 934.2889424513.

It can be divided in two parts, 815 and 536920, that added together give a palindrome (537735).

The spelling of 815536920 in words is "eight hundred fifteen million, five hundred thirty-six thousand, nine hundred twenty".