27324 has 48 divisors (see below), whose sum is σ = 80640. Its totient is φ = 7920.

The previous prime is 27299. The next prime is 27329. The reversal of 27324 is 42372.

Added to its reverse (42372) it gives a square (69696 = 264²).

It is a happy number.

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

It is a d-powerful number, because it can be written as 2⁹ + 7² + 3⁷ + 2¹³ + 4⁷ .

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 27297 and 27306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1177 + ... + 1199.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2²⁷³²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

27324 is an abundant number, since it is smaller than the sum of its proper divisors (53316).

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

27324 is a wasteful number, since it uses less digits than its factorization.

27324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 39 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 27324 is about 165.2997277675. The cubic root of 27324 is about 30.1195231746.

Adding to 27324 its reverse (42372), we get a palindrome (69696).

It can be divided in two parts, 27 and 324, that added together give a triangular number (351 = T₂₆).

The spelling of 27324 in words is "twenty-seven thousand, three hundred twenty-four", and thus it is an iban number.