6846801 has 32 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 3784704.

The previous prime is 6846787. The next prime is 6846803. The reversal of 6846801 is 1086486.

6846801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6846801 - 2⁷ = 6846673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6846803) 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 in 31 ways as a sum of consecutive naturals, for example, 15025 + ... + 15473.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^6846801 is an apocalyptic number.

It is an amenable number.

6846801 is a deficient number, since it is larger than the sum of its proper divisors (4039599).

6846801 is a wasteful number, since it uses less digits than its factorization.

6846801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505.

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 6846801 is about 2616.6392567567. The cubic root of 6846801 is about 189.8872923427.

The spelling of 6846801 in words is "six million, eight hundred forty-six thousand, eight hundred one".