6728801 has 2 divisors, whose sum is σ = 6728802. Its totient is φ = 6728800.

The previous prime is 6728759. The next prime is 6728809. The reversal of 6728801 is 1088276.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6635776 + 93025 = 2576^2 + 305^2 .

It is a cyclic number.

It is not a de Polignac number, because 6728801 - 2¹⁴ = 6712417 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (6728809) by changing a digit.

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 as a sum of consecutive naturals, namely, 3364400 + 3364401.

It is an arithmetic number, because the mean of its divisors is an integer number (3364401).

Almost surely, 2^6728801 is an apocalyptic number.

It is an amenable number.

6728801 is a deficient number, since it is larger than the sum of its proper divisors (1).

6728801 is an equidigital number, since it uses as much as digits as its factorization.

6728801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 6728801 is about 2593.9932536535. The cubic root of 6728801 is about 188.7901050695.

The spelling of 6728801 in words is "six million, seven hundred twenty-eight thousand, eight hundred one".