116793600 has 432 divisors, whose sum is σ = 486635520. Its totient is φ = 23961600.

The previous prime is 116793583. The next prime is 116793601. The reversal of 116793600 is 6397611.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (116793601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478361 + ... + 1478439.

Almost surely, 2^116793600 is an apocalyptic number.

116793600 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 116793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243317760).

116793600 is an abundant number, since it is smaller than the sum of its proper divisors (369841920).

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

116793600 is a wasteful number, since it uses less digits than its factorization.

116793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 116793600 is about 10807.1087715448. The cubic root of 116793600 is about 488.8095494146.

The spelling of 116793600 in words is "one hundred sixteen million, seven hundred ninety-three thousand, six hundred".