113960960 has 96 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 43991040.

The previous prime is 113960941. The next prime is 113960963. The reversal of 113960960 is 69069311.

It is a self number, because there is not a number n which added to its sum of digits gives 113960960.

It is not an unprimeable number, because it can be changed into a prime (113960963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317261 + ... + 317619.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^113960960 is an apocalyptic number.

113960960 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 113960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

113960960 is an abundant number, since it is smaller than the sum of its proper divisors (169085440).

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

113960960 is an equidigital number, since it uses as much as digits as its factorization.

113960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 113960960 is about 10675.2498799794. The cubic root of 113960960 is about 484.8254021334.

The spelling of 113960960 in words is "one hundred thirteen million, nine hundred sixty thousand, nine hundred sixty".