12648 has 32 divisors (see below), whose sum is σ = 34560. Its totient is φ = 3840.

The previous prime is 12647. The next prime is 12653. The reversal of 12648 is 84621.

12648 is nontrivially palindromic in base 11.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

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

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (12641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

2¹²⁶⁴⁸ 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 12648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280).

12648 is an abundant number, since it is smaller than the sum of its proper divisors (21912).

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

12648 is a wasteful number, since it uses less digits than its factorization.

12648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 53 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 12648 is about 112.4633273561. The cubic root of 12648 is about 23.2991790559.

It can be divided in two parts, 12 and 648, that multiplied together give a 5-th power (7776 = 6⁵).

The spelling of 12648 in words is "twelve thousand, six hundred forty-eight".