113764608 has 144 divisors (see below), whose sum is σ = 341756800. Its totient is φ = 37324800.

The previous prime is 113764597. The next prime is 113764631. The reversal of 113764608 is 806467311.

113764608 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 646 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 753333 + ... + 753483.

Almost surely, 2^113764608 is an apocalyptic number.

113764608 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 113764608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170878400).

113764608 is an abundant number, since it is smaller than the sum of its proper divisors (227992192).

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

113764608 is a wasteful number, since it uses less digits than its factorization.

113764608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 113764608 is about 10666.0493154682. The cubic root of 113764608 is about 484.5467945486.

The spelling of 113764608 in words is "one hundred thirteen million, seven hundred sixty-four thousand, six hundred eight".