6648 has 16 divisors (see below), whose sum is σ = 16680. Its totient is φ = 2208.

The previous prime is 6637. The next prime is 6653. The reversal of 6648 is 8466.

6648 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 277 = 6648 / (6 + 6 + 4 + 8).

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

It is a plaindrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6648.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115 + ... + 162.

2⁶⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

6648 is an abundant number, since it is smaller than the sum of its proper divisors (10032).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8340).

6648 is a wasteful number, since it uses less digits than its factorization.

6648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 6648 is about 81.5352684426. The cubic root of 6648 is about 18.8031381513.

The spelling of 6648 in words is "six thousand, six hundred forty-eight".