116656800 has 144 divisors (see below), whose sum is σ = 409036320. Its totient is φ = 28707840.

The previous prime is 116656783. The next prime is 116656801. The reversal of 116656800 is 8656611.

It is not an unprimeable number, because it can be changed into a prime (116656801) by changing a digit.

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, 29331 + ... + 33069.

It is an arithmetic number, because the mean of its divisors is an integer number (2840530).

Almost surely, 2^116656800 is an apocalyptic number.

116656800 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 116656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204518160).

116656800 is an abundant number, since it is smaller than the sum of its proper divisors (292379520).

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

116656800 is a wasteful number, since it uses less digits than its factorization.

116656800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 116656800 is about 10800.7777497734. Note that the first 4 decimals coincide. The cubic root of 116656800 is about 488.6186277910.

The spelling of 116656800 in words is "one hundred sixteen million, six hundred fifty-six thousand, eight hundred".