115840800 has 288 divisors, whose sum is σ = 434972160. Its totient is φ = 29721600.

The previous prime is 115840799. The next prime is 115840801. The reversal of 115840800 is 8048511.

115840800 is a `hidden beast` number, since 1 + 1 + 584 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115840799) and next prime (115840801).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (115840801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669514 + ... + 669686.

It is an arithmetic number, because the mean of its divisors is an integer number (1510320).

Almost surely, 2^115840800 is an apocalyptic number.

115840800 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 115840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217486080).

115840800 is an abundant number, since it is smaller than the sum of its proper divisors (319131360).

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

115840800 is a wasteful number, since it uses less digits than its factorization.

115840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 115840800 is about 10762.9364023021. The cubic root of 115840800 is about 487.4766852755.

The spelling of 115840800 in words is "one hundred fifteen million, eight hundred forty thousand, eight hundred".