27620 has 12 divisors (see below), whose sum is σ = 58044. Its totient is φ = 11040.

The previous prime is 27617. The next prime is 27631. The reversal of 27620 is 2672.

It can be written as a sum of positive squares in 2 ways, for example, as 11236 + 16384 = 106^2 + 128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 671 + ... + 710.

It is an arithmetic number, because the mean of its divisors is an integer number (4837).

2²⁷⁶²⁰ is an apocalyptic number.

27620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27620 is an abundant number, since it is smaller than the sum of its proper divisors (30424).

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 (29022).

27620 is a wasteful number, since it uses less digits than its factorization.

27620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 27620 is about 166.1926592843. The cubic root of 27620 is about 30.2278940560.

The spelling of 27620 in words is "twenty-seven thousand, six hundred twenty".