116910800 has 60 divisors (see below), whose sum is σ = 295680480. Its totient is φ = 44300160.

The previous prime is 116910799. The next prime is 116910811. The reversal of 116910800 is 8019611.

It is a self number, because there is not a number n which added to its sum of digits gives 116910800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92 + ... + 15291.

It is an arithmetic number, because the mean of its divisors is an integer number (4928008).

Almost surely, 2^116910800 is an apocalyptic number.

116910800 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 116910800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147840240).

116910800 is an abundant number, since it is smaller than the sum of its proper divisors (178769680).

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

116910800 is a wasteful number, since it uses less digits than its factorization.

116910800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15420 (or 15409 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The square root of 116910800 is about 10812.5297687451. The cubic root of 116910800 is about 488.9729982316.

The spelling of 116910800 in words is "one hundred sixteen million, nine hundred ten thousand, eight hundred".