220668960 has 96 divisors (see below), whose sum is σ = 697515840. Its totient is φ = 58641408.

The previous prime is 220668949. The next prime is 220668961. The reversal of 220668960 is 69866022.

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

It is not an unprimeable number, because it can be changed into a prime (220668961) 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, 181314 + ... + 182526.

It is an arithmetic number, because the mean of its divisors is an integer number (7265790).

Almost surely, 2^220668960 is an apocalyptic number.

220668960 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 220668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348757920).

220668960 is an abundant number, since it is smaller than the sum of its proper divisors (476846880).

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

220668960 is a wasteful number, since it uses less digits than its factorization.

220668960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 220668960 is about 14854.9304946203. The cubic root of 220668960 is about 604.2923310437.

The spelling of 220668960 in words is "two hundred twenty million, six hundred sixty-eight thousand, nine hundred sixty".