116851680 has 192 divisors, whose sum is σ = 446342400. Its totient is φ = 28316160.

The previous prime is 116851663. The next prime is 116851687. The reversal of 116851680 is 86158611.

116851680 is a `hidden beast` number, since 1 + 1 + 68 + 516 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116851687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46291 + ... + 48749.

It is an arithmetic number, because the mean of its divisors is an integer number (2324700).

Almost surely, 2^116851680 is an apocalyptic number.

116851680 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 116851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223171200).

116851680 is an abundant number, since it is smaller than the sum of its proper divisors (329490720).

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

116851680 is a wasteful number, since it uses less digits than its factorization.

116851680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 116851680 is about 10809.7955577337. The cubic root of 116851680 is about 488.8905622838.

The spelling of 116851680 in words is "one hundred sixteen million, eight hundred fifty-one thousand, six hundred eighty".