116076960 has 144 divisors (see below), whose sum is σ = 399508200. Its totient is φ = 30689280.

The previous prime is 116076923. The next prime is 116076967. The reversal of 116076960 is 69670611.

It can be written as a sum of positive squares in 4 ways, for example, as 64064016 + 52012944 = 8004^2 + 7212^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (116076967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214290 + ... + 214830.

Almost surely, 2^116076960 is an apocalyptic number.

116076960 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 116076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199754100).

116076960 is an abundant number, since it is smaller than the sum of its proper divisors (283431240).

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

116076960 is a wasteful number, since it uses less digits than its factorization.

116076960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 116076960 is about 10773.9018001836. The cubic root of 116076960 is about 487.8077268159.

The spelling of 116076960 in words is "one hundred sixteen million, seventy-six thousand, nine hundred sixty".