27560 has 32 divisors (see below), whose sum is σ = 68040. Its totient is φ = 9984.

The previous prime is 27551. The next prime is 27581. The reversal of 27560 is 6572.

It can be written as a sum of positive squares in 4 ways, for example, as 20164 + 7396 = 142^2 + 86^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27560.

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, 494 + ... + 546.

2²⁷⁵⁶⁰ is an apocalyptic number.

27560 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 27560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34020).

27560 is an abundant number, since it is smaller than the sum of its proper divisors (40480).

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

27560 is a wasteful number, since it uses less digits than its factorization.

27560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 27560 is about 166.0120477556. The cubic root of 27560 is about 30.2059897772.

27560 divided by its sum of digits (20) gives a triangular number (1378 = T₅₂).

The spelling of 27560 in words is "twenty-seven thousand, five hundred sixty".