218330560 has 112 divisors (see below), whose sum is σ = 614842560. Its totient is φ = 72253440.

The previous prime is 218330543. The next prime is 218330573. The reversal of 218330560 is 65033812.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 63280 + ... + 66640.

Almost surely, 2^218330560 is an apocalyptic number.

218330560 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 218330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307421280).

218330560 is an abundant number, since it is smaller than the sum of its proper divisors (396512000).

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

218330560 is a wasteful number, since it uses less digits than its factorization.

218330560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 218330560 is about 14776.0129940387. The cubic root of 218330560 is about 602.1502110418.

The spelling of 218330560 in words is "two hundred eighteen million, three hundred thirty thousand, five hundred sixty".