27090 has 48 divisors (see below), whose sum is σ = 82368. Its totient is φ = 6048.

The previous prime is 27077. The next prime is 27091. The reversal of 27090 is 9072.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

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 27090.

It is not an unprimeable number, because it can be changed into a prime (27091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609 + ... + 651.

It is an arithmetic number, because the mean of its divisors is an integer number (1716).

2²⁷⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41184).

27090 is an abundant number, since it is smaller than the sum of its proper divisors (55278).

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

27090 is a wasteful number, since it uses less digits than its factorization.

27090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 27090 is about 164.5904006921. The cubic root of 27090 is about 30.0332963647.

Subtracting from 27090 its sum of digits (18), we obtain a palindrome (27072).

The spelling of 27090 in words is "twenty-seven thousand, ninety".