115680000 has 180 divisors, whose sum is σ = 386320088. Its totient is φ = 30720000.

The previous prime is 115679981. The next prime is 115680007. The reversal of 115680000 is 86511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115680007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479880 + ... + 480120.

Almost surely, 2^115680000 is an apocalyptic number.

115680000 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 115680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193160044).

115680000 is an abundant number, since it is smaller than the sum of its proper divisors (270640088).

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

115680000 is an frugal number, since it uses more digits than its factorization.

115680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 115680000 is about 10755.4637277990. The cubic root of 115680000 is about 487.2510234229.

The spelling of 115680000 in words is "one hundred fifteen million, six hundred eighty thousand".