115809968 has 40 divisors (see below), whose sum is σ = 235029600. Its totient is φ = 55176704.

The previous prime is 115809961. The next prime is 115809973. The reversal of 115809968 is 869908511.

It is a super-2 number, since 2×115809968² = 26823897376322048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115809961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142748 + ... + 143556.

It is an arithmetic number, because the mean of its divisors is an integer number (5875740).

Almost surely, 2^115809968 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 115809968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117514800).

115809968 is an abundant number, since it is smaller than the sum of its proper divisors (119219632).

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

115809968 is a wasteful number, since it uses less digits than its factorization.

115809968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 47.

The square root of 115809968 is about 10761.5039841093. The cubic root of 115809968 is about 487.4334327692.

The spelling of 115809968 in words is "one hundred fifteen million, eight hundred nine thousand, nine hundred sixty-eight".