113688320 has 36 divisors (see below), whose sum is σ = 272322120. Its totient is φ = 45474816.

The previous prime is 113688317. The next prime is 113688329. The reversal of 113688320 is 23886311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113688329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43130 + ... + 45689.

Almost surely, 2^113688320 is an apocalyptic number.

113688320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113688320 is an abundant number, since it is smaller than the sum of its proper divisors (158633800).

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

113688320 is an frugal number, since it uses more digits than its factorization.

113688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88840 (or 88826 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 113688320 is about 10662.4725087571. The cubic root of 113688320 is about 484.4384615845.

The spelling of 113688320 in words is "one hundred thirteen million, six hundred eighty-eight thousand, three hundred twenty".