27666 has 24 divisors (see below), whose sum is σ = 63180. Its totient is φ = 8736.

The previous prime is 27653. The next prime is 27673. The reversal of 27666 is 66672.

It can be written as a sum of positive squares in 2 ways, for example, as 27225 + 441 = 165^2 + 21^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496 + ... + 548.

2²⁷⁶⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31590).

27666 is an abundant number, since it is smaller than the sum of its proper divisors (35514).

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

27666 is a wasteful number, since it uses less digits than its factorization.

27666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 87 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 27666 is about 166.3309953075. The cubic root of 27666 is about 30.2446658627.

Subtracting from 27666 its product of digits (3024), we obtain a palindrome (24642).

It can be divided in two parts, 2766 and 6, that added together give a palindrome (2772).

The spelling of 27666 in words is "twenty-seven thousand, six hundred sixty-six".