27306 has 24 divisors (see below), whose sum is σ = 62244. Its totient is φ = 8640.

The previous prime is 27299. The next prime is 27329. The reversal of 27306 is 60372.

It can be written as a sum of positive squares in 2 ways, for example, as 27225 + 81 = 165^2 + 9^2 .

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

It is a plaindrome in base 4 and base 16.

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, 646 + ... + 686.

2²⁷³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31122).

27306 is an abundant number, since it is smaller than the sum of its proper divisors (34938).

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

27306 is a wasteful number, since it uses less digits than its factorization.

27306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 27306 is about 165.2452722470. The cubic root of 27306 is about 30.1129078607.

Adding to 27306 its reverse (60372), we get a palindrome (87678).

It can be divided in two parts, 27 and 306, that added together give a palindrome (333).

The spelling of 27306 in words is "twenty-seven thousand, three hundred six".