27504 has 30 divisors (see below), whose sum is σ = 77376. Its totient is φ = 9120.

The previous prime is 27487. The next prime is 27509. The reversal of 27504 is 40572.

It is a happy number.

27504 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27509) by changing a digit.

27504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49 + ... + 239.

2²⁷⁵⁰⁴ is an apocalyptic number.

27504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38688).

27504 is an abundant number, since it is smaller than the sum of its proper divisors (49872).

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

27504 is a wasteful number, since it uses less digits than its factorization.

27504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 27504 is about 165.8432995330. The cubic root of 27504 is about 30.1855170823.

The spelling of 27504 in words is "twenty-seven thousand, five hundred four".