116568000 has 168 divisors, whose sum is σ = 417240720. Its totient is φ = 31065600.

The previous prime is 116567993. The next prime is 116568077. The reversal of 116568000 is 865611.

116568000 is a `hidden beast` number, since 1 + 1 + 656 + 8 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71191 + ... + 72809.

Almost surely, 2^116568000 is an apocalyptic number.

116568000 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 116568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208620360).

116568000 is an abundant number, since it is smaller than the sum of its proper divisors (300672720).

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

116568000 is a wasteful number, since it uses less digits than its factorization.

116568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 116568000 is about 10796.6661521045. Note that the first 3 decimals coincide. The cubic root of 116568000 is about 488.4946163082.

The spelling of 116568000 in words is "one hundred sixteen million, five hundred sixty-eight thousand".