116719200 has 432 divisors, whose sum is σ = 469188720. Its totient is φ = 27095040.

The previous prime is 116719199. The next prime is 116719217. The reversal of 116719200 is 2917611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2714379 + ... + 2714421.

It is an arithmetic number, because the mean of its divisors is an integer number (1086085).

Almost surely, 2^116719200 is an apocalyptic number.

116719200 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 116719200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234594360).

116719200 is an abundant number, since it is smaller than the sum of its proper divisors (352469520).

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

116719200 is a wasteful number, since it uses less digits than its factorization.

116719200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

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

The square root of 116719200 is about 10803.6660444499. Note that the first 3 decimals coincide. The cubic root of 116719200 is about 488.7057333508.

The spelling of 116719200 in words is "one hundred sixteen million, seven hundred nineteen thousand, two hundred".