6728580 has 72 divisors (see below), whose sum is σ = 21130200. Its totient is φ = 1731072.

The previous prime is 6728569. The next prime is 6728591. The reversal of 6728580 is 858276.

6728580 is a `hidden beast` number, since 6 + 72 + 8 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (6728569) and next prime (6728591).

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 5171076 = 1248^2 + 2274^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4576 + ... + 5864.

It is an arithmetic number, because the mean of its divisors is an integer number (293475).

Almost surely, 2^6728580 is an apocalyptic number.

6728580 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6728580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10565100).

6728580 is an abundant number, since it is smaller than the sum of its proper divisors (14401620).

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

6728580 is a wasteful number, since it uses less digits than its factorization.

6728580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6728580 is about 2593.9506548892. The cubic root of 6728580 is about 188.7880381797.

The spelling of 6728580 in words is "six million, seven hundred twenty-eight thousand, five hundred eighty".