853521264 has 120 divisors (see below), whose sum is σ = 2478508032. Its totient is φ = 273905280.

The previous prime is 853521239. The next prime is 853521271. The reversal of 853521264 is 462125358.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1173669 + ... + 1174395.

Almost surely, 2^853521264 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 853521264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239254016).

853521264 is an abundant number, since it is smaller than the sum of its proper divisors (1624986768).

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

853521264 is a wasteful number, since it uses less digits than its factorization.

853521264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1026 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 853521264 is about 29215.0862398179. The cubic root of 853521264 is about 948.5745062249.

The spelling of 853521264 in words is "eight hundred fifty-three million, five hundred twenty-one thousand, two hundred sixty-four".