218874880 has 176 divisors, whose sum is σ = 622550016. Its totient is φ = 72253440.

The previous prime is 218874857. The next prime is 218874907. The reversal of 218874880 is 88478812.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 218874880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110942 + ... + 1111138.

It is an arithmetic number, because the mean of its divisors is an integer number (3537216).

Almost surely, 2^218874880 is an apocalyptic number.

218874880 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 218874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311275008).

218874880 is an abundant number, since it is smaller than the sum of its proper divisors (403675136).

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

218874880 is a wasteful number, since it uses less digits than its factorization.

218874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 46.

The square root of 218874880 is about 14794.4205699311. The cubic root of 218874880 is about 602.6502027333.

The spelling of 218874880 in words is "two hundred eighteen million, eight hundred seventy-four thousand, eight hundred eighty".