116680960 has 72 divisors (see below), whose sum is σ = 304932096. Its totient is φ = 42424320.

The previous prime is 116680897. The next prime is 116680997. The reversal of 116680960 is 69086611.

It is a super-2 number, since 2×116680960² = 27228892853043200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9937 + ... + 18223.

It is an arithmetic number, because the mean of its divisors is an integer number (4235168).

Almost surely, 2^116680960 is an apocalyptic number.

116680960 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 116680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152466048).

116680960 is an abundant number, since it is smaller than the sum of its proper divisors (188251136).

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

116680960 is an equidigital number, since it uses as much as digits as its factorization.

116680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8319 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 116680960 is about 10801.8961298468. The cubic root of 116680960 is about 488.6523569612.

The spelling of 116680960 in words is "one hundred sixteen million, six hundred eighty thousand, nine hundred sixty".