116179680 has 96 divisors (see below), whose sum is σ = 385257600. Its totient is φ = 29348352.

The previous prime is 116179669. The next prime is 116179697. The reversal of 116179680 is 86971611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2751 + ... + 15489.

It is an arithmetic number, because the mean of its divisors is an integer number (4013100).

Almost surely, 2^116179680 is an apocalyptic number.

116179680 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 116179680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192628800).

116179680 is an abundant number, since it is smaller than the sum of its proper divisors (269077920).

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

116179680 is a wasteful number, since it uses less digits than its factorization.

116179680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12776 (or 12768 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 116179680 is about 10778.6678212106. The cubic root of 116179680 is about 487.9515763113.

The spelling of 116179680 in words is "one hundred sixteen million, one hundred seventy-nine thousand, six hundred eighty".