116808000 has 224 divisors, whose sum is σ = 400677888. Its totient is φ = 29952000.

The previous prime is 116807959. The next prime is 116808049. The reversal of 116808000 is 808611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 743922 + ... + 744078.

Almost surely, 2^116808000 is an apocalyptic number.

116808000 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 116808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200338944).

116808000 is an abundant number, since it is smaller than the sum of its proper divisors (283869888).

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

116808000 is a wasteful number, since it uses less digits than its factorization.

116808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 116808000 is about 10807.7749791527. The cubic root of 116808000 is about 488.8296377535.

The spelling of 116808000 in words is "one hundred sixteen million, eight hundred eight thousand".