115591680 has 240 divisors, whose sum is σ = 416524680. Its totient is φ = 29589504.

The previous prime is 115591673. The next prime is 115591681. The reversal of 115591680 is 86195511.

115591680 is a `hidden beast` number, since 1 + 1 + 5 + 591 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 110502144 + 5089536 = 10512^2 + 2256^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×115591680² = 26722872970444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (115591681) 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 23 ways as a sum of consecutive naturals, for example, 668074 + ... + 668246.

Almost surely, 2^115591680 is an apocalyptic number.

115591680 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 115591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208262340).

115591680 is an abundant number, since it is smaller than the sum of its proper divisors (300933000).

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

115591680 is a wasteful number, since it uses less digits than its factorization.

115591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 115591680 is about 10751.3571236379. The cubic root of 115591680 is about 487.1269888246.

The spelling of 115591680 in words is "one hundred fifteen million, five hundred ninety-one thousand, six hundred eighty".