115568640 has 416 divisors, whose sum is σ = 471801600. Its totient is φ = 26542080.

The previous prime is 115568633. The next prime is 115568641. The reversal of 115568640 is 46865511.

115568640 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 6 + 8 + 640 = 666.

It is a super-2 number, since 2×115568640² = 26712221102899200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 115568595 and 115568604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115568641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6082551 + ... + 6082569.

Almost surely, 2^115568640 is an apocalyptic number.

115568640 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 115568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235900800).

115568640 is an abundant number, since it is smaller than the sum of its proper divisors (356232960).

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

115568640 is a wasteful number, since it uses less digits than its factorization.

115568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 115568640 is about 10750.2855776021. The cubic root of 115568640 is about 487.0946215827.

The spelling of 115568640 in words is "one hundred fifteen million, five hundred sixty-eight thousand, six hundred forty".