116179200 has 162 divisors, whose sum is σ = 415572794. Its totient is φ = 30965760.

The previous prime is 116179183. The next prime is 116179211. The reversal of 116179200 is 2971611.

It can be written as a sum of positive squares in 3 ways, for example, as 21233664 + 94945536 = 4608^2 + 9744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56592 + ... + 58608.

Almost surely, 2^116179200 is an apocalyptic number.

116179200 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 116179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207786397).

116179200 is an abundant number, since it is smaller than the sum of its proper divisors (299393594).

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

116179200 is a wasteful number, since it uses less digits than its factorization.

116179200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 116179200 is about 10778.6455549851. The cubic root of 116179200 is about 487.9509043146.

The spelling of 116179200 in words is "one hundred sixteen million, one hundred seventy-nine thousand, two hundred".