113395968 has 216 divisors, whose sum is σ = 382636800. Its totient is φ = 31629312.

The previous prime is 113395951. The next prime is 113395969. The reversal of 113395968 is 869593311.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (174960) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (113395969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1274068 + ... + 1274156.

Almost surely, 2^113395968 is an apocalyptic number.

113395968 is a gapful number since it is divisible by the number (18) 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 113395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191318400).

113395968 is an abundant number, since it is smaller than the sum of its proper divisors (269240832).

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

113395968 is an equidigital number, since it uses as much as digits as its factorization.

113395968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 113395968 is about 10648.7542933434. The cubic root of 113395968 is about 484.0228571042.

The spelling of 113395968 in words is "one hundred thirteen million, three hundred ninety-five thousand, nine hundred sixty-eight".