116668800 has 144 divisors (see below), whose sum is σ = 416403780. Its totient is φ = 31104000.

The previous prime is 116668793. The next prime is 116668817. The reversal of 116668800 is 8866611.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×116668800² = 27223217786880000, which contains 22 as substring.

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26775 + ... + 30825.

Almost surely, 2^116668800 is an apocalyptic number.

116668800 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 116668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208201890).

116668800 is an abundant number, since it is smaller than the sum of its proper divisors (299734980).

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

116668800 is a wasteful number, since it uses less digits than its factorization.

116668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 116668800 is about 10801.3332510390. Note that the first 3 decimals coincide. The cubic root of 116668800 is about 488.6353812721.

The spelling of 116668800 in words is "one hundred sixteen million, six hundred sixty-eight thousand, eight hundred".