113997968 has 60 divisors (see below), whose sum is σ = 257269248. Its totient is φ = 47934720.

The previous prime is 113997941. The next prime is 113997979. The reversal of 113997968 is 869799311.

It is a super-3 number, since 3×113997968³ (a number of 25 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 596753 + ... + 596943.

Almost surely, 2^113997968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113997968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128634624).

113997968 is an abundant number, since it is smaller than the sum of its proper divisors (143271280).

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

113997968 is an equidigital number, since it uses as much as digits as its factorization.

113997968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 273 counting only the distinct ones).

The product of its digits is 734832, while the sum is 53.

The square root of 113997968 is about 10676.9830944888. The cubic root of 113997968 is about 484.8778776379.

The spelling of 113997968 in words is "one hundred thirteen million, nine hundred ninety-seven thousand, nine hundred sixty-eight".