116844800 has 54 divisors (see below), whose sum is σ = 289224978. Its totient is φ = 46735360.

The previous prime is 116844769. The next prime is 116844809. The reversal of 116844800 is 8448611.

It can be written as a sum of positive squares in 3 ways, for example, as 2611456 + 114233344 = 1616^2 + 10688^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (116844809) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2729 + ... + 15528.

Almost surely, 2^116844800 is an apocalyptic number.

116844800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116844800 is an abundant number, since it is smaller than the sum of its proper divisors (172380178).

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

116844800 is an equidigital number, since it uses as much as digits as its factorization.

116844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18283 (or 18264 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 116844800 is about 10809.4773231642. The cubic root of 116844800 is about 488.8809671199.

The spelling of 116844800 in words is "one hundred sixteen million, eight hundred forty-four thousand, eight hundred".