116604800 has 96 divisors (see below), whose sum is σ = 310318680. Its totient is φ = 43038720.

The previous prime is 116604749. The next prime is 116604833. The reversal of 116604800 is 8406611.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 116604800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40199 + ... + 43001.

Almost surely, 2^116604800 is an apocalyptic number.

116604800 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 116604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155159340).

116604800 is an abundant number, since it is smaller than the sum of its proper divisors (193713880).

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

116604800 is a wasteful number, since it uses less digits than its factorization.

116604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 116604800 is about 10798.3702474031. The cubic root of 116604800 is about 488.5460160934.

The spelling of 116604800 in words is "one hundred sixteen million, six hundred four thousand, eight hundred".