27404 has 24 divisors (see below), whose sum is σ = 56448. Its totient is φ = 11520.

The previous prime is 27397. The next prime is 27407. The reversal of 27404 is 40472.

27404 = 5² + 6² + ... + 43².

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (27407) 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 7 ways as a sum of consecutive naturals, for example, 869 + ... + 899.

It is an arithmetic number, because the mean of its divisors is an integer number (2352).

2²⁷⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

27404 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (28224).

27404 is a wasteful number, since it uses less digits than its factorization.

27404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 27404 is about 165.5415355734. The cubic root of 27404 is about 30.1488894714.

Adding to 27404 its reverse (40472), we get a palindrome (67876).

It can be divided in two parts, 2740 and 4, that added together give a cube (2744 = 14³).

The spelling of 27404 in words is "twenty-seven thousand, four hundred four", and thus it is an iban number.