218323872 has 72 divisors (see below), whose sum is σ = 668628324. Its totient is φ = 67175424.

The previous prime is 218323849. The next prime is 218323891. The reversal of 218323872 is 278323812.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 216796176 + 1527696 = 14724^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25413 + ... + 32900.

Almost surely, 2^218323872 is an apocalyptic number.

It is an amenable number.

218323872 is an abundant number, since it is smaller than the sum of its proper divisors (450304452).

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

218323872 is a wasteful number, since it uses less digits than its factorization.

218323872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58342 (or 58331 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 218323872 is about 14775.7866795646. The cubic root of 218323872 is about 602.1440625336.

The spelling of 218323872 in words is "two hundred eighteen million, three hundred twenty-three thousand, eight hundred seventy-two".