6820801 has 16 divisors (see below), whose sum is σ = 7676928. Its totient is φ = 6019200.

The previous prime is 6820783. The next prime is 6820817. The reversal of 6820801 is 1080286.

6820801 = T₁₆₆ + T₁₆₇ + ... + T₃₅₆.

It is a cyclic number.

It is not a de Polignac number, because 6820801 - 2⁵ = 6820769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6820841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35616 + ... + 35806.

It is an arithmetic number, because the mean of its divisors is an integer number (479808).

Almost surely, 2^6820801 is an apocalyptic number.

It is an amenable number.

6820801 is a deficient number, since it is larger than the sum of its proper divisors (856127).

6820801 is a wasteful number, since it uses less digits than its factorization.

6820801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 6820801 is about 2611.6663263135. Note that the first 3 decimals coincide. The cubic root of 6820801 is about 189.6466285080.

The spelling of 6820801 in words is "six million, eight hundred twenty thousand, eight hundred one".