6628580 has 48 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 2247168.

The previous prime is 6628571. The next prime is 6628607. The reversal of 6628580 is 858266.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 6628580.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15611 + ... + 16029.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 2^6628580 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 6628580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043840).

6628580 is an abundant number, since it is smaller than the sum of its proper divisors (9459100).

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

6628580 is a wasteful number, since it uses less digits than its factorization.

6628580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 6628580 is about 2574.6028819995. The cubic root of 6628580 is about 187.8481118154.

The spelling of 6628580 in words is "six million, six hundred twenty-eight thousand, five hundred eighty".