116391168 has 108 divisors (see below), whose sum is σ = 348199488. Its totient is φ = 38776320.

The previous prime is 116391167. The next prime is 116391179. The reversal of 116391168 is 861193611.

It is a happy number.

116391168 is a `hidden beast` number, since 1 + 1 + 639 + 1 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116391161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61273 + ... + 63143.

Almost surely, 2^116391168 is an apocalyptic number.

116391168 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 116391168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174099744).

116391168 is an abundant number, since it is smaller than the sum of its proper divisors (231808320).

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

116391168 is an frugal number, since it uses more digits than its factorization.

116391168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1876 counting only the distinct ones).

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

The square root of 116391168 is about 10788.4738494376. The cubic root of 116391168 is about 488.2474781666.

The spelling of 116391168 in words is "one hundred sixteen million, three hundred ninety-one thousand, one hundred sixty-eight".