24768 has 42 divisors (see below), whose sum is σ = 72644. Its totient is φ = 8064.

The previous prime is 24767. The next prime is 24781. The reversal of 24768 is 86742.

It is a super-2 number, since 2×24768² = 1226907648, which contains 22 as substring.

Its product of digits (2688) is a multiple of the sum of its prime divisors (48).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (24763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555 + ... + 597.

24768 is a Friedman number, since it can be written as 86*72*4, using all its digits and the basic arithmetic operations.

2²⁴⁷⁶⁸ 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 24768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36322).

24768 is an abundant number, since it is smaller than the sum of its proper divisors (47876).

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

24768 is a wasteful number, since it uses less digits than its factorization.

24768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 48 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 24768 is about 157.3785245832. The cubic root of 24768 is about 29.1494465245.

The spelling of 24768 in words is "twenty-four thousand, seven hundred sixty-eight".