220322960 has 80 divisors (see below), whose sum is σ = 601836480. Its totient is φ = 73950720.

The previous prime is 220322909. The next prime is 220323007. The reversal of 220322960 is 69223022.

220322960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 1811 + ... + 21069.

It is an arithmetic number, because the mean of its divisors is an integer number (7522956).

Almost surely, 2^220322960 is an apocalyptic number.

220322960 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 220322960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300918240).

220322960 is an abundant number, since it is smaller than the sum of its proper divisors (381513520).

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

220322960 is a wasteful number, since it uses less digits than its factorization.

220322960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19296 (or 19290 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 220322960 is about 14843.2799609790. The cubic root of 220322960 is about 603.9763305199.

Adding to 220322960 its reverse (69223022), we get a palindrome (289545982).

The spelling of 220322960 in words is "two hundred twenty million, three hundred twenty-two thousand, nine hundred sixty".