118114560 has 108 divisors (see below), whose sum is σ = 408703932. Its totient is φ = 31494144.

The previous prime is 118114543. The next prime is 118114567. The reversal of 118114560 is 65411811.

118114560 is a `hidden beast` number, since 11 + 81 + 14 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 91240704 = 5184^2 + 9552^2 .

It is not an unprimeable number, because it can be changed into a prime (118114567) 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, 6394 + ... + 16646.

Almost surely, 2^118114560 is an apocalyptic number.

118114560 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 118114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204351966).

118114560 is an abundant number, since it is smaller than the sum of its proper divisors (290589372).

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

118114560 is a wasteful number, since it uses less digits than its factorization.

118114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10280 (or 10263 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 118114560 is about 10868.0522634003. The cubic root of 118114560 is about 490.6454911046.

The spelling of 118114560 in words is "one hundred eighteen million, one hundred fourteen thousand, five hundred sixty".