8406801 has 32 divisors (see below), whose sum is σ = 13749120. Its totient is φ = 5044032.

The previous prime is 8406793. The next prime is 8406809. The reversal of 8406801 is 1086048.

It is an interprime number because it is at equal distance from previous prime (8406793) and next prime (8406809).

It is not a de Polignac number, because 8406801 - 2³ = 8406793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8406809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14815 + ... + 15371.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 2^8406801 is an apocalyptic number.

It is an amenable number.

8406801 is a deficient number, since it is larger than the sum of its proper divisors (5342319).

8406801 is a wasteful number, since it uses less digits than its factorization.

8406801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8406801 is about 2899.4483958160. The cubic root of 8406801 is about 203.3341177670.

The spelling of 8406801 in words is "eight million, four hundred six thousand, eight hundred one".