113980608 has 196 divisors, whose sum is σ = 388670800. Its totient is φ = 32472576.

The previous prime is 113980591. The next prime is 113980613. The reversal of 113980608 is 806089311.

113980608 is a `hidden beast` number, since 11 + 39 + 8 + 0 + 608 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326418 + ... + 326766.

Almost surely, 2^113980608 is an apocalyptic number.

113980608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113980608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194335400).

113980608 is an abundant number, since it is smaller than the sum of its proper divisors (274690192).

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

113980608 is an frugal number, since it uses more digits than its factorization.

113980608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 113980608 is about 10676.1700998064. The cubic root of 113980608 is about 484.8532634352.

The spelling of 113980608 in words is "one hundred thirteen million, nine hundred eighty thousand, six hundred eight".