6628560 has 80 divisors (see below), whose sum is σ = 20891520. Its totient is φ = 1738240.

The previous prime is 6628553. The next prime is 6628561. The reversal of 6628560 is 658266.

6628560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6628561) 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, 16846 + ... + 17234.

It is an arithmetic number, because the mean of its divisors is an integer number (261144).

Almost surely, 2^6628560 is an apocalyptic number.

6628560 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 6628560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445760).

6628560 is an abundant number, since it is smaller than the sum of its proper divisors (14262960).

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

6628560 is a wasteful number, since it uses less digits than its factorization.

6628560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 6628560 is about 2574.5989979024. The cubic root of 6628560 is about 187.8479228878.

The spelling of 6628560 in words is "six million, six hundred twenty-eight thousand, five hundred sixty".