23744 has 28 divisors (see below), whose sum is σ = 54864. Its totient is φ = 9984.

The previous prime is 23743. The next prime is 23747. The reversal of 23744 is 44732.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹¹ + 3⁶ + 7⁵ + 4³ + 4⁶ .

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23741) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 422 + ... + 474.

2²³⁷⁴⁴ 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 23744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27432).

23744 is an abundant number, since it is smaller than the sum of its proper divisors (31120).

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

23744 is an equidigital number, since it uses as much as digits as its factorization.

23744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 62 counting only the distinct ones).

The product of its digits is 672, while the sum is 20.

The square root of 23744 is about 154.0908822741. The cubic root of 23744 is about 28.7420646026.

It can be divided in two parts, 23 and 744, that added together give a palindrome (767).

The spelling of 23744 in words is "twenty-three thousand, seven hundred forty-four", and thus it is an iban number.