113330880 has 224 divisors, whose sum is σ = 430987200. Its totient is φ = 27869184.

The previous prime is 113330879. The next prime is 113330881. The reversal of 113330880 is 88033311.

It is an interprime number because it is at equal distance from previous prime (113330879) and next prime (113330881).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113330881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111816 + ... + 112824.

It is an arithmetic number, because the mean of its divisors is an integer number (1924050).

Almost surely, 2^113330880 is an apocalyptic number.

113330880 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 113330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215493600).

113330880 is an abundant number, since it is smaller than the sum of its proper divisors (317656320).

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

113330880 is a wasteful number, since it uses less digits than its factorization.

113330880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 113330880 is about 10645.6977225544. The cubic root of 113330880 is about 483.9302315025.

The spelling of 113330880 in words is "one hundred thirteen million, three hundred thirty thousand, eight hundred eighty".