6628960 has 48 divisors (see below), whose sum is σ = 16870896. Its totient is φ = 2446848.

The previous prime is 6628943. The next prime is 6628981. The reversal of 6628960 is 698266.

It is a super-2 number, since 2×6628960² = 87886221363200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487 + ... + 3673.

It is an arithmetic number, because the mean of its divisors is an integer number (351477).

Almost surely, 2^6628960 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 6628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8435448).

6628960 is an abundant number, since it is smaller than the sum of its proper divisors (10241936).

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

6628960 is a wasteful number, since it uses less digits than its factorization.

6628960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 6628960 is about 2574.6766787307. The cubic root of 6628960 is about 187.8517013685.

The spelling of 6628960 in words is "six million, six hundred twenty-eight thousand, nine hundred sixty".