116584560 has 60 divisors (see below), whose sum is σ = 391532232. Its totient is φ = 31089024.

The previous prime is 116584549. The next prime is 116584561. The reversal of 116584560 is 65485611.

116584560 is a `hidden beast` number, since 1 + 16 + 5 + 84 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116584561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80242 + ... + 81681.

Almost surely, 2^116584560 is an apocalyptic number.

116584560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116584560 is an abundant number, since it is smaller than the sum of its proper divisors (274947672).

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

116584560 is a wasteful number, since it uses less digits than its factorization.

116584560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161942 (or 161933 counting only the distinct ones).

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

The square root of 116584560 is about 10797.4330282711. The cubic root of 116584560 is about 488.5177475500.

The spelling of 116584560 in words is "one hundred sixteen million, five hundred eighty-four thousand, five hundred sixty".