116296992 has 288 divisors, whose sum is σ = 410235840. Its totient is φ = 31933440.

The previous prime is 116296981. The next prime is 116296997. The reversal of 116296992 is 299692611.

116296992 is a `hidden beast` number, since 11 + 629 + 6 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116296997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1735743 + ... + 1735809.

It is an arithmetic number, because the mean of its divisors is an integer number (1424430).

Almost surely, 2^116296992 is an apocalyptic number.

116296992 is a gapful number since it is divisible by the number (12) 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 116296992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205117920).

116296992 is an abundant number, since it is smaller than the sum of its proper divisors (293938848).

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

116296992 is a wasteful number, since it uses less digits than its factorization.

116296992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 116296992 is about 10784.1083080615. The cubic root of 116296992 is about 488.1157568269.

The spelling of 116296992 in words is "one hundred sixteen million, two hundred ninety-six thousand, nine hundred ninety-two".