113964800 has 54 divisors (see below), whose sum is σ = 282096528. Its totient is φ = 45583360.

The previous prime is 113964797. The next prime is 113964811. The reversal of 113964800 is 8469311.

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 an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2504 + ... + 15303.

Almost surely, 2^113964800 is an apocalyptic number.

113964800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113964800 is an abundant number, since it is smaller than the sum of its proper divisors (168131728).

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

113964800 is an equidigital number, since it uses as much as digits as its factorization.

113964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17833 (or 17814 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 113964800 is about 10675.4297337391. The cubic root of 113964800 is about 484.8308475907.

The spelling of 113964800 in words is "one hundred thirteen million, nine hundred sixty-four thousand, eight hundred".