115753968 has 80 divisors (see below), whose sum is σ = 362476800. Its totient is φ = 35075520.

The previous prime is 115753949. The next prime is 115753999. The reversal of 115753968 is 869357511.

It is a happy number.

115753968 is a `hidden beast` number, since 1 + 1 + 57 + 539 + 68 = 666.

It is a super-2 number, since 2×115753968² = 26797962215490048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7428 + ... + 16931.

It is an arithmetic number, because the mean of its divisors is an integer number (4530960).

Almost surely, 2^115753968 is an apocalyptic number.

115753968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

115753968 is an abundant number, since it is smaller than the sum of its proper divisors (246722832).

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

115753968 is a wasteful number, since it uses less digits than its factorization.

115753968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24387 (or 24375 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 115753968 is about 10758.9018026934. The cubic root of 115753968 is about 487.3548538305.

The spelling of 115753968 in words is "one hundred fifteen million, seven hundred fifty-three thousand, nine hundred sixty-eight".