116588160 has 320 divisors, whose sum is σ = 450976680. Its totient is φ = 28532736.

The previous prime is 116588137. The next prime is 116588209. The reversal of 116588160 is 61885611.

116588160 is a `hidden beast` number, since 1 + 16 + 588 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97298496 + 19289664 = 9864^2 + 4392^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673834 + ... + 674006.

Almost surely, 2^116588160 is an apocalyptic number.

116588160 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 116588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225488340).

116588160 is an abundant number, since it is smaller than the sum of its proper divisors (334388520).

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

116588160 is a wasteful number, since it uses less digits than its factorization.

116588160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 116588160 is about 10797.5997332741. The cubic root of 116588160 is about 488.5227757910.

The spelling of 116588160 in words is "one hundred sixteen million, five hundred eighty-eight thousand, one hundred sixty".