116959680 has 112 divisors (see below), whose sum is σ = 412638240. Its totient is φ = 31186944.

The previous prime is 116959673. The next prime is 116959691. The reversal of 116959680 is 86959611.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1872 + ... + 15408.

It is an arithmetic number, because the mean of its divisors is an integer number (3684270).

Almost surely, 2^116959680 is an apocalyptic number.

116959680 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 116959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206319120).

116959680 is an abundant number, since it is smaller than the sum of its proper divisors (295678560).

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

116959680 is a wasteful number, since it uses less digits than its factorization.

116959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13563 (or 13547 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 116959680 is about 10814.7898731321. The cubic root of 116959680 is about 489.0411347082.

The spelling of 116959680 in words is "one hundred sixteen million, nine hundred fifty-nine thousand, six hundred eighty".