6627080 has 48 divisors (see below), whose sum is σ = 15521220. Its totient is φ = 2546432.

The previous prime is 6627077. The next prime is 6627083. The reversal of 6627080 is 807266.

It is an interprime number because it is at equal distance from previous prime (6627077) and next prime (6627083).

It can be written as a sum of positive squares in 6 ways, for example, as 5044516 + 1582564 = 2246^2 + 1258^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (6627083) 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, 33542 + ... + 33738.

Almost surely, 2^6627080 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 6627080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760610).

6627080 is an abundant number, since it is smaller than the sum of its proper divisors (8894140).

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

6627080 is a wasteful number, since it uses less digits than its factorization.

6627080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 6627080 is about 2574.3115584560. The cubic root of 6627080 is about 187.8339411874.

The spelling of 6627080 in words is "six million, six hundred twenty-seven thousand, eighty".