24968 has 8 divisors (see below), whose sum is σ = 46830. Its totient is φ = 12480.

The previous prime is 24967. The next prime is 24971. The reversal of 24968 is 86942.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 4 = 158^2 + 2^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 24968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24967) 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 as a sum of consecutive naturals, namely, 1553 + ... + 1568.

2²⁴⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

24968 is a deficient number, since it is larger than the sum of its proper divisors (21862).

24968 is a wasteful number, since it uses less digits than its factorization.

24968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3123 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 24968 is about 158.0126577208. The cubic root of 24968 is about 29.2276962463.

Subtracting from 24968 its product of digits (3456), we obtain a palindrome (21512).

It can be divided in two parts, 24 and 968, that multiplied together give a palindrome (23232).

The spelling of 24968 in words is "twenty-four thousand, nine hundred sixty-eight".