116488800 has 144 divisors (see below), whose sum is σ = 421379280. Its totient is φ = 31057920.

The previous prime is 116488787. The next prime is 116488837. The reversal of 116488800 is 8884611.

116488800 is a `hidden beast` number, since 1 + 1 + 648 + 8 + 8 + 0 + 0 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18904 + ... + 24296.

It is an arithmetic number, because the mean of its divisors is an integer number (2926245).

Almost surely, 2^116488800 is an apocalyptic number.

116488800 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 116488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210689640).

116488800 is an abundant number, since it is smaller than the sum of its proper divisors (304890480).

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

116488800 is a wasteful number, since it uses less digits than its factorization.

116488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5422 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 116488800 is about 10792.9977300100. The cubic root of 116488800 is about 488.3839583259.

The spelling of 116488800 in words is "one hundred sixteen million, four hundred eighty-eight thousand, eight hundred".