116992800 has 108 divisors (see below), whose sum is σ = 412571250. Its totient is φ = 31196160.

The previous prime is 116992769. The next prime is 116992817. The reversal of 116992800 is 8299611.

It can be written as a sum of positive squares in 3 ways, for example, as 91470096 + 25522704 = 9564^2 + 5052^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 925 + ... + 15324.

Almost surely, 2^116992800 is an apocalyptic number.

116992800 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 116992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206285625).

116992800 is an abundant number, since it is smaller than the sum of its proper divisors (295578450).

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

116992800 is a wasteful number, since it uses less digits than its factorization.

116992800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16275 (or 16259 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 116992800 is about 10816.3210011538. The cubic root of 116992800 is about 489.0872916794.

The spelling of 116992800 in words is "one hundred sixteen million, nine hundred ninety-two thousand, eight hundred".