115892816 has 40 divisors (see below), whose sum is σ = 250166280. Its totient is φ = 51641856.

The previous prime is 115892813. The next prime is 115892831. The reversal of 115892816 is 618298511.

It can be written as a sum of positive squares in 4 ways, for example, as 27457600 + 88435216 = 5240^2 + 9404^2 .

It is a super-2 number, since 2×115892816² = 26862289600819712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115892813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3575 + ... + 15638.

It is an arithmetic number, because the mean of its divisors is an integer number (6254157).

Almost surely, 2^115892816 is an apocalyptic number.

115892816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

115892816 is an abundant number, since it is smaller than the sum of its proper divisors (134273464).

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

115892816 is a wasteful number, since it uses less digits than its factorization.

115892816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19263 (or 19257 counting only the distinct ones).

The product of its digits is 34560, while the sum is 41.

The square root of 115892816 is about 10765.3525720248. The cubic root of 115892816 is about 487.5496382504.

The spelling of 115892816 in words is "one hundred fifteen million, eight hundred ninety-two thousand, eight hundred sixteen".