115516800 has 384 divisors, whose sum is σ = 485683200. Its totient is φ = 26265600.

The previous prime is 115516781. The next prime is 115516801. The reversal of 115516800 is 8615511.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115516801) 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 47 ways as a sum of consecutive naturals, for example, 604705 + ... + 604895.

It is an arithmetic number, because the mean of its divisors is an integer number (1264800).

Almost surely, 2^115516800 is an apocalyptic number.

115516800 is a gapful number since it is divisible by the number (10) 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 115516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242841600).

115516800 is an abundant number, since it is smaller than the sum of its proper divisors (370166400).

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

115516800 is a wasteful number, since it uses less digits than its factorization.

115516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 115516800 is about 10747.8742084191. The cubic root of 115516800 is about 487.0217795566.

It can be divided in two parts, 1155 and 16800, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 115516800 in words is "one hundred fifteen million, five hundred sixteen thousand, eight hundred".