116854400 has 144 divisors (see below), whose sum is σ = 316848210. Its totient is φ = 42332160.

The previous prime is 116854391. The next prime is 116854403. The reversal of 116854400 is 4458611.

It can be written as a sum of positive squares in 9 ways, for example, as 9193024 + 107661376 = 3032^2 + 10376^2 .

It is not an unprimeable number, because it can be changed into a prime (116854403) 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 17 ways as a sum of consecutive naturals, for example, 2204774 + ... + 2204826.

Almost surely, 2^116854400 is an apocalyptic number.

116854400 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 116854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158424105).

116854400 is an abundant number, since it is smaller than the sum of its proper divisors (199993810).

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

116854400 is an equidigital number, since it uses as much as digits as its factorization.

116854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 116854400 is about 10809.9213688167. The cubic root of 116854400 is about 488.8943556169.

The spelling of 116854400 in words is "one hundred sixteen million, eight hundred fifty-four thousand, four hundred".