30504 has 32 divisors (see below), whose sum is σ = 80640. Its totient is φ = 9600.

The previous prime is 30497. The next prime is 30509. The reversal of 30504 is 40503.

30504 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 (12).

It is a self number, because there is not a number n which added to its sum of digits gives 30504.

It is not an unprimeable number, because it can be changed into a prime (30509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 724 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2³⁰⁵⁰⁴ 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 30504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

30504 is an abundant number, since it is smaller than the sum of its proper divisors (50136).

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

30504 is a wasteful number, since it uses less digits than its factorization.

30504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 30504 is about 174.6539435570. The cubic root of 30504 is about 31.2453646458.

Subtracting 30504 from its reverse (40503), we obtain a palindrome (9999).

The spelling of 30504 in words is "thirty thousand, five hundred four".