24668 has 12 divisors (see below), whose sum is σ = 49392. Its totient is φ = 10560.

The previous prime is 24659. The next prime is 24671. The reversal of 24668 is 86642.

24668 is an admirable number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 10 and base 12.

It is a congruent number.

It is an unprimeable number.

24668 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 3 ways as a sum of consecutive naturals, for example, 413 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (4116).

2²⁴⁶⁶⁸ is an apocalyptic number.

24668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

24668 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (24696).

24668 is a wasteful number, since it uses less digits than its factorization.

24668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 890 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 24668 is about 157.0604978981. The cubic root of 24668 is about 29.1101636262.

Subtracting from 24668 its sum of digits (26), we obtain a palindrome (24642).

The spelling of 24668 in words is "twenty-four thousand, six hundred sixty-eight".