6648768 has 168 divisors, whose sum is σ = 23298912. Its totient is φ = 1769472.

The previous prime is 6648757. The next prime is 6648773. The reversal of 6648768 is 8678466.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×6648768² = 88412231835648, which contains 22 as substring.

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

Its product of digits (387072) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68496 + ... + 68592.

It is an arithmetic number, because the mean of its divisors is an integer number (138684).

Almost surely, 2^6648768 is an apocalyptic number.

6648768 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11649456).

6648768 is an abundant number, since it is smaller than the sum of its proper divisors (16650144).

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

6648768 is a wasteful number, since it uses less digits than its factorization.

6648768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 6648768 is about 2578.5205060267. The cubic root of 6648768 is about 188.0386219127.

The spelling of 6648768 in words is "six million, six hundred forty-eight thousand, seven hundred sixty-eight".