115530800 has 240 divisors, whose sum is σ = 360167424. Its totient is φ = 34848000.

The previous prime is 115530799. The next prime is 115530803. The reversal of 115530800 is 8035511.

It is not an unprimeable number, because it can be changed into a prime (115530803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3726785 + ... + 3726815.

Almost surely, 2^115530800 is an apocalyptic number.

115530800 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 115530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180083712).

115530800 is an abundant number, since it is smaller than the sum of its proper divisors (244636624).

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

115530800 is a wasteful number, since it uses less digits than its factorization.

115530800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 115530800 is about 10748.5254802694. The cubic root of 115530800 is about 487.0414535477.

The spelling of 115530800 in words is "one hundred fifteen million, five hundred thirty thousand, eight hundred".