27104 has 36 divisors (see below), whose sum is σ = 67032. Its totient is φ = 10560.

The previous prime is 27103. The next prime is 27107. The reversal of 27104 is 40172.

It is a happy number.

27104 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2459 + ... + 2469.

It is an arithmetic number, because the mean of its divisors is an integer number (1862).

2²⁷¹⁰⁴ 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 27104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33516).

27104 is an abundant number, since it is smaller than the sum of its proper divisors (39928).

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

27104 is a wasteful number, since it uses less digits than its factorization.

27104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 27104 is about 164.6329250181. The cubic root of 27104 is about 30.0384691682.

Multiplying 27104 by its sum of digits (14), we get a square (379456 = 616²).

27104 divided by its sum of digits (14) gives a square (1936 = 44²).

Multiplying 27104 by its product of nonzero digits (56), we get a square (1517824 = 1232²).

27104 divided by its product of nonzero digits (56) gives a palindrome (484).

Adding to 27104 its reverse (40172), we get a palindrome (67276).

It can be divided in two parts, 27 and 104, that added together give a palindrome (131).

The spelling of 27104 in words is "twenty-seven thousand, one hundred four", and thus it is an iban number.