24744 has 16 divisors (see below), whose sum is σ = 61920. Its totient is φ = 8240.

The previous prime is 24733. The next prime is 24749. The reversal of 24744 is 44742.

It is a super-2 number, since 2×24744² = 1224531072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 24744.

It is not an unprimeable number, because it can be changed into a prime (24749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 492 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (3870).

2²⁴⁷⁴⁴ is an apocalyptic number.

24744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

24744 is an abundant number, since it is smaller than the sum of its proper divisors (37176).

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 (30960).

24744 is a wasteful number, since it uses less digits than its factorization.

24744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1036 counting only the distinct ones).

The product of its digits is 896, while the sum is 21.

The square root of 24744 is about 157.3022568179. The cubic root of 24744 is about 29.1400282859.

The spelling of 24744 in words is "twenty-four thousand, seven hundred forty-four", and thus it is an iban number.