27564 has 12 divisors (see below), whose sum is σ = 64344. Its totient is φ = 9184.

The previous prime is 27551. The next prime is 27581. The reversal of 27564 is 46572.

It is a happy number.

27564 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (12).

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, 1137 + ... + 1160.

It is an arithmetic number, because the mean of its divisors is an integer number (5362).

2²⁷⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

27564 is an abundant number, since it is smaller than the sum of its proper divisors (36780).

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 (32172).

27564 is a wasteful number, since it uses less digits than its factorization.

27564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2302 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 27564 is about 166.0240946369. The cubic root of 27564 is about 30.2074510510.

The spelling of 27564 in words is "twenty-seven thousand, five hundred sixty-four".