24966 has 24 divisors (see below), whose sum is σ = 57720. Its totient is φ = 7776.

The previous prime is 24953. The next prime is 24967. The reversal of 24966 is 66942.

24966 is nontrivially palindromic in base 8.

24966 is an undulating number in base 8.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306 + ... + 378.

It is an arithmetic number, because the mean of its divisors is an integer number (2405).

2²⁴⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28860).

24966 is an abundant number, since it is smaller than the sum of its proper divisors (32754).

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

24966 is a wasteful number, since it uses less digits than its factorization.

24966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 97 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 24966 is about 158.0063289872. The cubic root of 24966 is about 29.2269158213.

It can be divided in two parts, 24 and 966, that added together give a triangular number (990 = T₄₄).

The spelling of 24966 in words is "twenty-four thousand, nine hundred sixty-six".