24948 has 60 divisors (see below), whose sum is σ = 81312. Its totient is φ = 6480.

The previous prime is 24943. The next prime is 24953. The reversal of 24948 is 84942.

It is an interprime number because it is at equal distance from previous prime (24943) and next prime (24953).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24943) by changing a digit.

24948 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 19 ways as a sum of consecutive naturals, for example, 2263 + ... + 2273.

2²⁴⁹⁴⁸ is an apocalyptic number.

24948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40656).

24948 is an abundant number, since it is smaller than the sum of its proper divisors (56364).

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

24948 is a wasteful number, since it uses less digits than its factorization.

24948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 23 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 24948 is about 157.9493589731. The cubic root of 24948 is about 29.2198901201.

It can be divided in two parts, 2 and 4948, that added together give a triangular number (4950 = T₉₉).

The spelling of 24948 in words is "twenty-four thousand, nine hundred forty-eight".