853107264 has 63 divisors (see below), whose sum is σ = 2447288857. Its totient is φ = 284135424.

The previous prime is 853107251. The next prime is 853107271. The reversal of 853107264 is 462701358.

The square root of 853107264 is 29208.

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

853107264 is a `hidden beast` number, since 85 + 310 + 7 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 286286400 + 566820864 = 16920^2 + 23808^2 .

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

It is a Duffinian number.

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, 700384 + ... + 701600.

Almost surely, 2^853107264 is an apocalyptic number.

853107264 is the 29208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853107264

853107264 is an abundant number, since it is smaller than the sum of its proper divisors (1594181593).

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

853107264 is an equidigital number, since it uses as much as digits as its factorization.

853107264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 853107264 is about 948.4211129143.

Multiplying 853107264 by its sum of digits (36), we get a square (30711861504 = 175248²).

853107264 divided by its sum of digits (36) gives a square (23697424 = 4868²).

The spelling of 853107264 in words is "eight hundred fifty-three million, one hundred seven thousand, two hundred sixty-four".