218848960 has 112 divisors (see below), whose sum is σ = 576437760. Its totient is φ = 78474240.

The previous prime is 218848957. The next prime is 218848961. The reversal of 218848960 is 69848812.

It is a self number, because there is not a number n which added to its sum of digits gives 218848960.

It is not an unprimeable number, because it can be changed into a prime (218848961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277687 + ... + 278473.

Almost surely, 2^218848960 is an apocalyptic number.

218848960 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 218848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288218880).

218848960 is an abundant number, since it is smaller than the sum of its proper divisors (357588800).

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

218848960 is a wasteful number, since it uses less digits than its factorization.

218848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 218848960 is about 14793.5445380747. The cubic root of 218848960 is about 602.6264124139.

The spelling of 218848960 in words is "two hundred eighteen million, eight hundred forty-eight thousand, nine hundred sixty".