218489568 has 96 divisors (see below), whose sum is σ = 631556352. Its totient is φ = 65587200.

The previous prime is 218489561. The next prime is 218489573. The reversal of 218489568 is 865984812.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 218489568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218489561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118413 + ... + 120243.

It is an arithmetic number, because the mean of its divisors is an integer number (6578712).

Almost surely, 2^218489568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218489568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315778176).

218489568 is an abundant number, since it is smaller than the sum of its proper divisors (413066784).

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

218489568 is a wasteful number, since it uses less digits than its factorization.

218489568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1960 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 218489568 is about 14781.3926272189. The cubic root of 218489568 is about 602.2963555949.

The spelling of 218489568 in words is "two hundred eighteen million, four hundred eighty-nine thousand, five hundred sixty-eight".