6624768 has 80 divisors (see below), whose sum is σ = 18659520. Its totient is φ = 2082816.

The previous prime is 6624763. The next prime is 6624769. The reversal of 6624768 is 8674266.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6624763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29071 + ... + 29297.

It is an arithmetic number, because the mean of its divisors is an integer number (233244).

Almost surely, 2^6624768 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 6624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9329760).

6624768 is an abundant number, since it is smaller than the sum of its proper divisors (12034752).

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

6624768 is a wasteful number, since it uses less digits than its factorization.

6624768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 6624768 is about 2573.8624671882. The cubic root of 6624768 is about 187.8120953376.

The spelling of 6624768 in words is "six million, six hundred twenty-four thousand, seven hundred sixty-eight".