220530960 has 120 divisors (see below), whose sum is σ = 797620824. Its totient is φ = 54282240.

The previous prime is 220530941. The next prime is 220530977. The reversal of 220530960 is 69035022.

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 220344336 = 432^2 + 14844^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2421 + ... + 21140.

Almost surely, 2^220530960 is an apocalyptic number.

220530960 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 220530960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398810412).

220530960 is an abundant number, since it is smaller than the sum of its proper divisors (577089864).

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

220530960 is a wasteful number, since it uses less digits than its factorization.

220530960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23593 (or 23584 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 220530960 is about 14850.2848457530. The cubic root of 220530960 is about 604.1663357800.

Adding to 220530960 its reverse (69035022), we get a palindrome (289565982).

The spelling of 220530960 in words is "two hundred twenty million, five hundred thirty thousand, nine hundred sixty".