24642 has 18 divisors (see below), whose sum is σ = 54873. Its totient is φ = 7992.

The previous prime is 24631. The next prime is 24659.

Added to its reverse (24642) it gives a square (49284 = 222²).

24642 is a `hidden beast` number, since 24 + 642 = 666.

24642 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 19881 + 4761 = 141^2 + 69^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

24642 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 8 ways as a sum of consecutive naturals, for example, 648 + ... + 684.

2²⁴⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24642

24642 is an abundant number, since it is smaller than the sum of its proper divisors (30231).

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

24642 is a wasteful number, since it uses less digits than its factorization.

24642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 42 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 24642 is about 156.9777054234. The cubic root of 24642 is about 29.0999326884.

Multiplying 24642 by its sum of digits (18), we get a square (443556 = 666²).

24642 divided by its sum of digits (18) gives a square (1369 = 37²).

It can be divided in two parts, 24 and 642, that added together give a palindrome (666).

The spelling of 24642 in words is "twenty-four thousand, six hundred forty-two".