113568160 has 96 divisors (see below), whose sum is σ = 290993472. Its totient is φ = 41717760.

The previous prime is 113568139. The next prime is 113568163. The reversal of 113568160 is 61865311.

113568160 = T₁₅₉₂ + T₁₅₉₃ + ... + T₁₆₇₆.

It is not an unprimeable number, because it can be changed into a prime (113568163) 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, 116475 + ... + 117445.

It is an arithmetic number, because the mean of its divisors is an integer number (3031182).

Almost surely, 2^113568160 is an apocalyptic number.

113568160 is a gapful number since it is divisible by the number (10) 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 113568160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145496736).

113568160 is an abundant number, since it is smaller than the sum of its proper divisors (177425312).

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

113568160 is a wasteful number, since it uses less digits than its factorization.

113568160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 113568160 is about 10656.8363035190. The cubic root of 113568160 is about 484.2677297523.

The spelling of 113568160 in words is "one hundred thirteen million, five hundred sixty-eight thousand, one hundred sixty".