218428560 has 240 divisors, whose sum is σ = 882860160. Its totient is φ = 47278080.

The previous prime is 218428547. The next prime is 218428571. The reversal of 218428560 is 65824812.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×218428560² = 95422071647347200, which contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 94620 + ... + 96900.

It is an arithmetic number, because the mean of its divisors is an integer number (3678584).

Almost surely, 2^218428560 is an apocalyptic number.

218428560 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 218428560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441430080).

218428560 is an abundant number, since it is smaller than the sum of its proper divisors (664431600).

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

218428560 is a wasteful number, since it uses less digits than its factorization.

218428560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 218428560 is about 14779.3288074933. The cubic root of 218428560 is about 602.2402914130.

The spelling of 218428560 in words is "two hundred eighteen million, four hundred twenty-eight thousand, five hundred sixty".