218353872 has 80 divisors (see below), whose sum is σ = 632048832. Its totient is φ = 64373760.

The previous prime is 218353859. The next prime is 218353879. The reversal of 218353872 is 278353812.

It is a self number, because there is not a number n which added to its sum of digits gives 218353872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218353879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13948 + ... + 25124.

Almost surely, 2^218353872 is an apocalyptic number.

218353872 is a gapful number since it is divisible by the number (22) 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 218353872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316024416).

218353872 is an abundant number, since it is smaller than the sum of its proper divisors (413694960).

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

218353872 is a wasteful number, since it uses less digits than its factorization.

218353872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11236 (or 11230 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 218353872 is about 14776.8018190676. The cubic root of 218353872 is about 602.1716415829.

The spelling of 218353872 in words is "two hundred eighteen million, three hundred fifty-three thousand, eight hundred seventy-two".