113660800 has 96 divisors (see below), whose sum is σ = 306397800. Its totient is φ = 41318400.

The previous prime is 113660797. The next prime is 113660819. The reversal of 113660800 is 8066311.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33586 + ... + 36814.

Almost surely, 2^113660800 is an apocalyptic number.

113660800 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 113660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153198900).

113660800 is an abundant number, since it is smaller than the sum of its proper divisors (192737000).

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

113660800 is a wasteful number, since it uses less digits than its factorization.

113660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 113660800 is about 10661.1819232203. The cubic root of 113660800 is about 484.3993698457.

The spelling of 113660800 in words is "one hundred thirteen million, six hundred sixty thousand, eight hundred".