116980416 has 224 divisors, whose sum is σ = 414528000. Its totient is φ = 31601664.

The previous prime is 116980411. The next prime is 116980427. The reversal of 116980416 is 614089611.

It is a happy number.

116980416 is a `hidden beast` number, since 1 + 169 + 80 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (116980411) 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, 229570 + ... + 230078.

Almost surely, 2^116980416 is an apocalyptic number.

116980416 is a gapful number since it is divisible by the number (16) 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 116980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207264000).

116980416 is an abundant number, since it is smaller than the sum of its proper divisors (297547584).

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

116980416 is a wasteful number, since it uses less digits than its factorization.

116980416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 116980416 is about 10815.7485177865. The cubic root of 116980416 is about 489.0700340056.

The spelling of 116980416 in words is "one hundred sixteen million, nine hundred eighty thousand, four hundred sixteen".