116849160 has 192 divisors, whose sum is σ = 409996080. Its totient is φ = 28753920.

The previous prime is 116849147. The next prime is 116849179. The reversal of 116849160 is 61948611.

It is a happy number.

116849160 is a `hidden beast` number, since 1 + 168 + 491 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4955076 + 111894084 = 2226^2 + 10578^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373164 + ... + 373476.

Almost surely, 2^116849160 is an apocalyptic number.

116849160 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 116849160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204998040).

116849160 is an abundant number, since it is smaller than the sum of its proper divisors (293146920).

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

116849160 is a wasteful number, since it uses less digits than its factorization.

116849160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 116849160 is about 10809.6789961590. The cubic root of 116849160 is about 488.8870478198.

The spelling of 116849160 in words is "one hundred sixteen million, eight hundred forty-nine thousand, one hundred sixty".