113979008 has 96 divisors (see below), whose sum is σ = 268790400. Its totient is φ = 47723520.

The previous prime is 113979001. The next prime is 113979013. The reversal of 113979008 is 800979311.

It is not an unprimeable number, because it can be changed into a prime (113979001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237713 + ... + 238191.

It is an arithmetic number, because the mean of its divisors is an integer number (2799900).

Almost surely, 2^113979008 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 113979008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134395200).

113979008 is an abundant number, since it is smaller than the sum of its proper divisors (154811392).

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

113979008 is a wasteful number, since it uses less digits than its factorization.

113979008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 38.

The square root of 113979008 is about 10676.0951663050. The cubic root of 113979008 is about 484.8509947193.

The spelling of 113979008 in words is "one hundred thirteen million, nine hundred seventy-nine thousand, eight".