113768960 has 80 divisors (see below), whose sum is σ = 287258400. Its totient is φ = 43094016.

The previous prime is 113768953. The next prime is 113768989. The reversal of 113768960 is 69867311.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47471 + ... + 49809.

It is an arithmetic number, because the mean of its divisors is an integer number (3590730).

Almost surely, 2^113768960 is an apocalyptic number.

113768960 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 113768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143629200).

113768960 is an abundant number, since it is smaller than the sum of its proper divisors (173489440).

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

113768960 is an equidigital number, since it uses as much as digits as its factorization.

113768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 113768960 is about 10666.2533253247. The cubic root of 113768960 is about 484.5529731566.

The spelling of 113768960 in words is "one hundred thirteen million, seven hundred sixty-eight thousand, nine hundred sixty".