27220 has 12 divisors (see below), whose sum is σ = 57204. Its totient is φ = 10880.

The previous prime is 27211. The next prime is 27239. The reversal of 27220 is 2272.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 20164 = 84^2 + 142^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27220.

It is a congruent number.

It is an unprimeable number.

27220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 661 + ... + 700.

It is an arithmetic number, because the mean of its divisors is an integer number (4767).

2²⁷²²⁰ is an apocalyptic number.

27220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27220 is an abundant number, since it is smaller than the sum of its proper divisors (29984).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28602).

27220 is a wasteful number, since it uses less digits than its factorization.

27220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 27220 is about 164.9848477891. The cubic root of 27220 is about 30.0812611701.

Adding to 27220 its reverse (2272), we get a palindrome (29492).

It can be divided in two parts, 272 and 20, that added together give a palindrome (292).

The spelling of 27220 in words is "twenty-seven thousand, two hundred twenty", and thus it is an iban number.