20024 has 8 divisors (see below), whose sum is σ = 37560. Its totient is φ = 10008.

The previous prime is 20023. The next prime is 20029. The reversal of 20024 is 42002.

It is a tau number, because it is divible by the number of its divisors (8).

It is a Harshad number since it is a multiple of its sum of digits (8), and also a Moran number because the ratio is a prime number: 2503 = 20024 / (2 + 0 + 0 + 2 + 4).

It is a plaindrome in base 7 and base 15.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 19993 and 20020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021) 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 as a sum of consecutive naturals, namely, 1244 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (4695).

2²⁰⁰²⁴ is an apocalyptic number.

It is an amenable number.

20024 is a deficient number, since it is larger than the sum of its proper divisors (17536).

20024 is a wasteful number, since it uses less digits than its factorization.

20024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 20024 is about 141.5061836105. The cubic root of 20024 is about 27.1550294962.

Adding to 20024 its reverse (42002), we get a palindrome (62026).

It can be divided in two parts, 2002 and 4, that multiplied together give a palindrome (8008).

The spelling of 20024 in words is "twenty thousand, twenty-four", and thus it is an iban number.