113972880 has 160 divisors (see below), whose sum is σ = 407116800. Its totient is φ = 25837056.

The previous prime is 113972867. The next prime is 113972909. The reversal of 113972880 is 88279311.

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, 300531 + ... + 300909.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^113972880 is an apocalyptic number.

113972880 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 113972880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

113972880 is an abundant number, since it is smaller than the sum of its proper divisors (293143920).

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

113972880 is a wasteful number, since it uses less digits than its factorization.

113972880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 113972880 is about 10675.8081661296. The cubic root of 113972880 is about 484.8423053411.

The spelling of 113972880 in words is "one hundred thirteen million, nine hundred seventy-two thousand, eight hundred eighty".