220320 has 120 divisors (see below), whose sum is σ = 823284. Its totient is φ = 55296.

The previous prime is 220307. The next prime is 220327. The reversal of 220320 is 23022.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 1296 = 468^2 + 36^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 6 and base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220320.

It is not an unprimeable number, because it can be changed into a prime (220327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12952 + ... + 12968.

2²²⁰³²⁰ is an apocalyptic number.

220320 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 220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411642).

220320 is an abundant number, since it is smaller than the sum of its proper divisors (602964).

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

220320 is a wasteful number, since it uses less digits than its factorization.

220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 220320 is about 469.3825731746. The cubic root of 220320 is about 60.3973625736.

220320 divided by its product of nonzero digits (24) gives a triangular number (9180 = T₁₃₅).

Adding to 220320 its reverse (23022), we get a palindrome (243342).

The spelling of 220320 in words is "two hundred twenty thousand, three hundred twenty", and thus it is an iban number.