116218800 has 300 divisors, whose sum is σ = 443728296. Its totient is φ = 29030400.

The previous prime is 116218789. The next prime is 116218859. The reversal of 116218800 is 8812611.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 550695 + ... + 550905.

Almost surely, 2^116218800 is an apocalyptic number.

116218800 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 116218800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221864148).

116218800 is an abundant number, since it is smaller than the sum of its proper divisors (327509496).

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

116218800 is a wasteful number, since it uses less digits than its factorization.

116218800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 116218800 is about 10780.4823639761. The cubic root of 116218800 is about 488.0063378197.

The spelling of 116218800 in words is "one hundred sixteen million, two hundred eighteen thousand, eight hundred".