6648000 has 112 divisors (see below), whose sum is σ = 22030944. Its totient is φ = 1766400.

The previous prime is 6647987. The next prime is 6648001. The reversal of 6648000 is 8466.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6648001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23862 + ... + 24138.

Almost surely, 2^6648000 is an apocalyptic number.

6648000 is a gapful number since it is divisible by the number (60) 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 6648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11015472).

6648000 is an abundant number, since it is smaller than the sum of its proper divisors (15382944).

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

6648000 is a wasteful number, since it uses less digits than its factorization.

6648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

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

The square root of 6648000 is about 2578.3715791173. The cubic root of 6648000 is about 188.0313815126.

The spelling of 6648000 in words is "six million, six hundred forty-eight thousand".