116131968 has 160 divisors (see below), whose sum is σ = 361373760. Its totient is φ = 36951552.

The previous prime is 116131909. The next prime is 116131969. The reversal of 116131968 is 869131611.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116131969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238221 + ... + 238707.

It is an arithmetic number, because the mean of its divisors is an integer number (2258586).

Almost surely, 2^116131968 is an apocalyptic number.

116131968 is a gapful number since it is divisible by the number (18) 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 116131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180686880).

116131968 is an abundant number, since it is smaller than the sum of its proper divisors (245241792).

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

116131968 is an equidigital number, since it uses as much as digits as its factorization.

116131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 515 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 116131968 is about 10776.4543334067. The cubic root of 116131968 is about 487.8847707870.

The spelling of 116131968 in words is "one hundred sixteen million, one hundred thirty-one thousand, nine hundred sixty-eight".