30024 has 32 divisors (see below), whose sum is σ = 84000. Its totient is φ = 9936.

The previous prime is 30013. The next prime is 30029. The reversal of 30024 is 42003.

30024 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 29988 and 30015.

It is not an unprimeable number, because it can be changed into a prime (30029) by changing a digit.

30024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 147 + ... + 285.

It is an arithmetic number, because the mean of its divisors is an integer number (2625).

2³⁰⁰²⁴ 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 30024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42000).

30024 is an abundant number, since it is smaller than the sum of its proper divisors (53976).

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

30024 is a wasteful number, since it uses less digits than its factorization.

30024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 30024 is about 173.2743489383. The cubic root of 30024 is about 31.0806088043.

Adding to 30024 its reverse (42003), we get a palindrome (72027).

It can be divided in two parts, 300 and 24, that added together give a square (324 = 18²).

The spelling of 30024 in words is "thirty thousand, twenty-four".