115789968 has 120 divisors (see below), whose sum is σ = 372539648. Its totient is φ = 32887296.

The previous prime is 115789939. The next prime is 115789987. The reversal of 115789968 is 869987511.

115789968 is a `hidden beast` number, since 1 + 1 + 578 + 9 + 9 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315321 + ... + 315687.

Almost surely, 2^115789968 is an apocalyptic number.

115789968 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 115789968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186269824).

115789968 is an abundant number, since it is smaller than the sum of its proper divisors (256749680).

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

115789968 is a wasteful number, since it uses less digits than its factorization.

115789968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 692 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 54.

The square root of 115789968 is about 10760.5747058417. The cubic root of 115789968 is about 487.4053717710.

It can be divided in two parts, 1157 and 89968, that added together give a cube (91125 = 45³).

The spelling of 115789968 in words is "one hundred fifteen million, seven hundred eighty-nine thousand, nine hundred sixty-eight".