116164800 has 168 divisors, whose sum is σ = 423621200. Its totient is φ = 30965760.

The previous prime is 116164799. The next prime is 116164819. The reversal of 116164800 is 8461611.

116164800 is a `hidden beast` number, since 1 + 1 + 616 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41856 + ... + 44544.

Almost surely, 2^116164800 is an apocalyptic number.

116164800 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 116164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211810600).

116164800 is an abundant number, since it is smaller than the sum of its proper divisors (307456400).

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

116164800 is a wasteful number, since it uses less digits than its factorization.

116164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 116164800 is about 10777.9775468313. The cubic root of 116164800 is about 487.9307435534.

It can be divided in two parts, 116164 and 800, that added together give a square (116964 = 342²).

The spelling of 116164800 in words is "one hundred sixteen million, one hundred sixty-four thousand, eight hundred".