27660 has 24 divisors (see below), whose sum is σ = 77616. Its totient is φ = 7360.

The previous prime is 27653. The next prime is 27673. The reversal of 27660 is 6672.

27660 is nontrivially palindromic in base 14.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

27660 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (3234).

2²⁷⁶⁶⁰ is an apocalyptic number.

27660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27660 is an abundant number, since it is smaller than the sum of its proper divisors (49956).

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 (38808).

27660 is a wasteful number, since it uses less digits than its factorization.

27660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 27660 is about 166.3129580039. The cubic root of 27660 is about 30.2424792906.

The spelling of 27660 in words is "twenty-seven thousand, six hundred sixty".