113186880 has 84 divisors (see below), whose sum is σ = 389325612. Its totient is φ = 30182400.

The previous prime is 113186873. The next prime is 113186893. The reversal of 113186880 is 88681311.

It can be written as a sum of positive squares in 2 ways, for example, as 36869184 + 76317696 = 6072^2 + 8736^2 .

It is a super-2 number, since 2×113186880² = 25622539608268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16771 + ... + 22530.

Almost surely, 2^113186880 is an apocalyptic number.

113186880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113186880 is an abundant number, since it is smaller than the sum of its proper divisors (276138732).

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

113186880 is a wasteful number, since it uses less digits than its factorization.

113186880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39324 (or 39311 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 113186880 is about 10638.9322772541. The cubic root of 113186880 is about 483.7251815082.

The spelling of 113186880 in words is "one hundred thirteen million, one hundred eighty-six thousand, eight hundred eighty".