6628608 has 144 divisors (see below), whose sum is σ = 22565760. Its totient is φ = 1880064.

The previous prime is 6628607. The next prime is 6628613. The reversal of 6628608 is 8068266.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6628607) 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 15 ways as a sum of consecutive naturals, for example, 48316 + ... + 48452.

Almost surely, 2^6628608 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 6628608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11282880).

6628608 is an abundant number, since it is smaller than the sum of its proper divisors (15937152).

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

6628608 is a wasteful number, since it uses less digits than its factorization.

6628608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6628608 is about 2574.6083197255. The cubic root of 6628608 is about 187.8483763135.

The spelling of 6628608 in words is "six million, six hundred twenty-eight thousand, six hundred eight".