220576 has 24 divisors (see below), whose sum is σ = 445284. Its totient is φ = 107520.

The previous prime is 220573. The next prime is 220579. The reversal of 220576 is 675022.

220576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220573) and next prime (220579).

It can be written as a sum of positive squares in 2 ways, for example, as 144400 + 76176 = 380^2 + 276^2 .

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (220573) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1896 + ... + 2008.

2²²⁰⁵⁷⁶ 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 220576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222642).

220576 is an abundant number, since it is smaller than the sum of its proper divisors (224708).

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

220576 is a wasteful number, since it uses less digits than its factorization.

220576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 220576 is about 469.6551926680. The cubic root of 220576 is about 60.4207463489.

Adding to 220576 its reverse (675022), we get a palindrome (895598).

The spelling of 220576 in words is "two hundred twenty thousand, five hundred seventy-six".