116917920 has 216 divisors, whose sum is σ = 464402484. Its totient is φ = 26707968.

The previous prime is 116917919. The next prime is 116917921. The reversal of 116917920 is 29719611.

It is an interprime number because it is at equal distance from previous prime (116917919) and next prime (116917921).

It can be written as a sum of positive squares in 2 ways, for example, as 113806224 + 3111696 = 10668^2 + 1764^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (116917921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69732 + ... + 71388.

Almost surely, 2^116917920 is an apocalyptic number.

116917920 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 116917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232201242).

116917920 is an abundant number, since it is smaller than the sum of its proper divisors (347484564).

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

116917920 is a wasteful number, since it uses less digits than its factorization.

116917920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 116917920 is about 10812.8590113808. The cubic root of 116917920 is about 488.9829243664.

The spelling of 116917920 in words is "one hundred sixteen million, nine hundred seventeen thousand, nine hundred twenty".