24648 has 32 divisors (see below), whose sum is σ = 67200. Its totient is φ = 7488.

The previous prime is 24631. The next prime is 24659. The reversal of 24648 is 84642.

It is a Cunningham number, because it is equal to 157²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

24648 is a modest number, since divided by 648 gives 24 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273 + ... + 351.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

2²⁴⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33600).

24648 is an abundant number, since it is smaller than the sum of its proper divisors (42552).

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

24648 is a wasteful number, since it uses less digits than its factorization.

24648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 97 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 24648 is about 156.9968152543. The cubic root of 24648 is about 29.1022943126.

The spelling of 24648 in words is "twenty-four thousand, six hundred forty-eight".