113986008 has 128 divisors (see below), whose sum is σ = 338688000. Its totient is φ = 35441280.

The previous prime is 113985983. The next prime is 113986009. The reversal of 113986008 is 800689311.

113986008 is a `hidden beast` number, since 11 + 39 + 8 + 600 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113986009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193891 + ... + 194477.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^113986008 is an apocalyptic number.

113986008 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 113986008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

113986008 is an abundant number, since it is smaller than the sum of its proper divisors (224701992).

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

113986008 is a wasteful number, since it uses less digits than its factorization.

113986008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

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

The square root of 113986008 is about 10676.4229964909. The cubic root of 113986008 is about 484.8609201946.

The spelling of 113986008 in words is "one hundred thirteen million, nine hundred eighty-six thousand, eight".