218312800 has 72 divisors (see below), whose sum is σ = 541043496. Its totient is φ = 86000640.

The previous prime is 218312779. The next prime is 218312807. The reversal of 218312800 is 8213812.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218312807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51564 + ... + 55636.

It is an arithmetic number, because the mean of its divisors is an integer number (7514493).

Almost surely, 2^218312800 is an apocalyptic number.

218312800 is a gapful number since it is divisible by the number (20) 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 218312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270521748).

218312800 is an abundant number, since it is smaller than the sum of its proper divisors (322730696).

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

218312800 is a wasteful number, since it uses less digits than its factorization.

218312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 218312800 is about 14775.4120077919. The cubic root of 218312800 is about 602.1338833875.

The spelling of 218312800 in words is "two hundred eighteen million, three hundred twelve thousand, eight hundred".