113964080 has 80 divisors (see below), whose sum is σ = 278714304. Its totient is φ = 43253760.

The previous prime is 113964047. The next prime is 113964089. The reversal of 113964080 is 80469311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (113964089) 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 15 ways as a sum of consecutive naturals, for example, 443312 + ... + 443568.

Almost surely, 2^113964080 is an apocalyptic number.

113964080 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 113964080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139357152).

113964080 is an abundant number, since it is smaller than the sum of its proper divisors (164750224).

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

113964080 is a wasteful number, since it uses less digits than its factorization.

113964080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

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

The square root of 113964080 is about 10675.3960113899. The cubic root of 113964080 is about 484.8298265768.

The spelling of 113964080 in words is "one hundred thirteen million, nine hundred sixty-four thousand, eighty".