113617920 has 176 divisors, whose sum is σ = 392041440. Its totient is φ = 27918336.

The previous prime is 113617897. The next prime is 113617927. The reversal of 113617920 is 29716311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (113617927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199396 + ... + 199964.

Almost surely, 2^113617920 is an apocalyptic number.

113617920 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 113617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196020720).

113617920 is an abundant number, since it is smaller than the sum of its proper divisors (278423520).

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

113617920 is a wasteful number, since it uses less digits than its factorization.

113617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 113617920 is about 10659.1706994494. The cubic root of 113617920 is about 484.3384468843.

The spelling of 113617920 in words is "one hundred thirteen million, six hundred seventeen thousand, nine hundred twenty".