116838400 has 156 divisors (see below), whose sum is σ = 333144352. Its totient is φ = 39813120.

The previous prime is 116838389. The next prime is 116838401. The reversal of 116838400 is 4838611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116838401) 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 11 ways as a sum of consecutive naturals, for example, 716719 + ... + 716881.

Almost surely, 2^116838400 is an apocalyptic number.

116838400 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 116838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166572176).

116838400 is an abundant number, since it is smaller than the sum of its proper divisors (216305952).

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

116838400 is an equidigital number, since it uses as much as digits as its factorization.

116838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 116838400 is about 10809.1812825949. The cubic root of 116838400 is about 488.8720410478.

The spelling of 116838400 in words is "one hundred sixteen million, eight hundred thirty-eight thousand, four hundred".