853880832 has 208 divisors, whose sum is σ = 2893716480. Its totient is φ = 243744768.

The previous prime is 853880809. The next prime is 853880837. The reversal of 853880832 is 238088358.

853880832 is a `hidden beast` number, since 8 + 538 + 80 + 8 + 32 = 666.

It is a super-2 number, since 2×853880832² = 1458224950514024448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (853880837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773593 + ... + 774695.

Almost surely, 2^853880832 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 853880832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446858240).

853880832 is an abundant number, since it is smaller than the sum of its proper divisors (2039835648).

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

853880832 is a wasteful number, since it uses less digits than its factorization.

853880832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 853880832 is about 29221.2393987661. The cubic root of 853880832 is about 948.7076914064.

The spelling of 853880832 in words is "eight hundred fifty-three million, eight hundred eighty thousand, eight hundred thirty-two".