220560 has 40 divisors (see below), whose sum is σ = 684480. Its totient is φ = 58752.

The previous prime is 220559. The next prime is 220573. The reversal of 220560 is 65022.

220560 is digitally balanced in base 2, 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220 + ... + 699.

It is an arithmetic number, because the mean of its divisors is an integer number (17112).

2²²⁰⁵⁶⁰ is an apocalyptic number.

220560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220560 is an abundant number, since it is smaller than the sum of its proper divisors (463920).

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

220560 is a wasteful number, since it uses less digits than its factorization.

220560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 220560 is about 469.6381585859. The cubic root of 220560 is about 60.4192853932.

Adding to 220560 its reverse (65022), we get a palindrome (285582).

It can be divided in two parts, 220 and 560, that added together give a triangular number (780 = T₃₉).

The spelling of 220560 in words is "two hundred twenty thousand, five hundred sixty".