83113080 has 64 divisors (see below), whose sum is σ = 249955200. Its totient is φ = 22108800.

The previous prime is 83113073. The next prime is 83113091. The reversal of 83113080 is 8031138.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 83113080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78555 + ... + 79605.

It is an arithmetic number, because the mean of its divisors is an integer number (3905550).

Almost surely, 2^83113080 is an apocalyptic number.

It is an amenable number.

83113080 is an abundant number, since it is smaller than the sum of its proper divisors (166842120).

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

83113080 is a wasteful number, since it uses less digits than its factorization.

83113080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 83113080 is about 9116.6375380400. The cubic root of 83113080 is about 436.4050748211.

The spelling of 83113080 in words is "eighty-three million, one hundred thirteen thousand, eighty".