6628180 has 72 divisors (see below), whose sum is σ = 15771672. Its totient is φ = 2336256.

The previous prime is 6628177. The next prime is 6628189. The reversal of 6628180 is 818266.

6628180 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 12 ways, for example, as 1592644 + 5035536 = 1262^2 + 2244^2 .

It is a super-2 number, since 2×6628180² = 87865540224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6628189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125034 + ... + 125086.

It is an arithmetic number, because the mean of its divisors is an integer number (219051).

Almost surely, 2^6628180 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 6628180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7885836).

6628180 is an abundant number, since it is smaller than the sum of its proper divisors (9143492).

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

6628180 is a wasteful number, since it uses less digits than its factorization.

6628180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 6628180 is about 2574.5251989445. The cubic root of 6628180 is about 187.8443331903.

The spelling of 6628180 in words is "six million, six hundred twenty-eight thousand, one hundred eighty".