116800512 has 88 divisors (see below), whose sum is σ = 314517456. Its totient is φ = 38535168.

The previous prime is 116800477. The next prime is 116800549. The reversal of 116800512 is 215008611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 592798 + ... + 592994.

It is an arithmetic number, because the mean of its divisors is an integer number (3574062).

Almost surely, 2^116800512 is an apocalyptic number.

116800512 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 116800512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157258728).

116800512 is an abundant number, since it is smaller than the sum of its proper divisors (197716944).

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

116800512 is a wasteful number, since it uses less digits than its factorization.

116800512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 116800512 is about 10807.4285563218. The cubic root of 116800512 is about 488.8191920233.

The spelling of 116800512 in words is "one hundred sixteen million, eight hundred thousand, five hundred twelve".