113564160 has 320 divisors, whose sum is σ = 424258560. Its totient is φ = 28753920.

The previous prime is 113564153. The next prime is 113564201. The reversal of 113564160 is 61465311.

113564160 is a `hidden beast` number, since 1 + 13 + 5 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2142694 + ... + 2142746.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2^113564160 is an apocalyptic number.

113564160 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 113564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

113564160 is an abundant number, since it is smaller than the sum of its proper divisors (310694400).

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

113564160 is an equidigital number, since it uses as much as digits as its factorization.

113564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 113564160 is about 10656.6486289077. The cubic root of 113564160 is about 484.2620441985.

The spelling of 113564160 in words is "one hundred thirteen million, five hundred sixty-four thousand, one hundred sixty".