113885568 has 128 divisors (see below), whose sum is σ = 347289600. Its totient is φ = 36702720.

The previous prime is 113885561. The next prime is 113885573. The reversal of 113885568 is 865588311.

113885568 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 85 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113885561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106605 + ... + 107667.

It is an arithmetic number, because the mean of its divisors is an integer number (2713200).

Almost surely, 2^113885568 is an apocalyptic number.

113885568 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 113885568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173644800).

113885568 is an abundant number, since it is smaller than the sum of its proper divisors (233404032).

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

113885568 is a wasteful number, since it uses less digits than its factorization.

113885568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1099 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 113885568 is about 10671.7181372073. The cubic root of 113885568 is about 484.7184648685.

The spelling of 113885568 in words is "one hundred thirteen million, eight hundred eighty-five thousand, five hundred sixty-eight".