6628752 has 60 divisors (see below), whose sum is σ = 19983964. Its totient is φ = 2039040.

The previous prime is 6628729. The next prime is 6628753. The reversal of 6628752 is 2578266.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 4822416 = 1344^2 + 2196^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6628753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102 + ... + 3642.

Almost surely, 2^6628752 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 6628752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9991982).

6628752 is an abundant number, since it is smaller than the sum of its proper divisors (13355212).

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

6628752 is a wasteful number, since it uses less digits than its factorization.

6628752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3559 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 6628752 is about 2574.6362849925. The cubic root of 6628752 is about 187.8497365775.

The spelling of 6628752 in words is "six million, six hundred twenty-eight thousand, seven hundred fifty-two".