116542800 has 360 divisors, whose sum is σ = 461741280. Its totient is φ = 27993600.

The previous prime is 116542799. The next prime is 116542819. The reversal of 116542800 is 8245611.

116542800 is a `hidden beast` number, since 1 + 1 + 654 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 71 ways as a sum of consecutive naturals, for example, 1069146 + ... + 1069254.

Almost surely, 2^116542800 is an apocalyptic number.

116542800 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 116542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230870640).

116542800 is an abundant number, since it is smaller than the sum of its proper divisors (345198480).

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

116542800 is a wasteful number, since it uses less digits than its factorization.

116542800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 116542800 is about 10795.4990621092. The cubic root of 116542800 is about 488.4594123885.

The spelling of 116542800 in words is "one hundred sixteen million, five hundred forty-two thousand, eight hundred".