116112960 has 224 divisors, whose sum is σ = 416966400. Its totient is φ = 30412800.

The previous prime is 116112959. The next prime is 116112967. The reversal of 116112960 is 69211611.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116112967) 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, 768885 + ... + 769035.

Almost surely, 2^116112960 is an apocalyptic number.

116112960 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 116112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208483200).

116112960 is an abundant number, since it is smaller than the sum of its proper divisors (300853440).

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

116112960 is a wasteful number, since it uses less digits than its factorization.

116112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 116112960 is about 10775.5723745887. The cubic root of 116112960 is about 487.8581510144.

The spelling of 116112960 in words is "one hundred sixteen million, one hundred twelve thousand, nine hundred sixty".