116193792 has 240 divisors, whose sum is σ = 380163168. Its totient is φ = 31088640.

The previous prime is 116193787. The next prime is 116193841. The reversal of 116193792 is 297391611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 116193792.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5051893 + ... + 5051915.

Almost surely, 2^116193792 is an apocalyptic number.

116193792 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 116193792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190081584).

116193792 is an abundant number, since it is smaller than the sum of its proper divisors (263969376).

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

116193792 is a wasteful number, since it uses less digits than its factorization.

116193792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its digits is 20412, while the sum is 39.

The square root of 116193792 is about 10779.3224276853. The cubic root of 116193792 is about 487.9713321868.

The spelling of 116193792 in words is "one hundred sixteen million, one hundred ninety-three thousand, seven hundred ninety-two".