6728610 has 48 divisors (see below), whose sum is σ = 18559296. Its totient is φ = 1529376.

The previous prime is 6728591. The next prime is 6728639. The reversal of 6728610 is 168276.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37501 + ... + 37679.

It is an arithmetic number, because the mean of its divisors is an integer number (386652).

Almost surely, 2^6728610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6728610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9279648).

6728610 is an abundant number, since it is smaller than the sum of its proper divisors (11830686).

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

6728610 is a wasteful number, since it uses less digits than its factorization.

6728610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 6728610 is about 2593.9564375679. The cubic root of 6728610 is about 188.7883187556.

The spelling of 6728610 in words is "six million, seven hundred twenty-eight thousand, six hundred ten".