906801 has 16 divisors (see below), whose sum is σ = 1430400. Its totient is φ = 499968.

The previous prime is 906793. The next prime is 906809. The reversal of 906801 is 108609.

It is an interprime number because it is at equal distance from previous prime (906793) and next prime (906809).

It is not a de Polignac number, because 906801 - 2³ = 906793 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (906809) 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 15 ways as a sum of consecutive naturals, for example, 136 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (89400).

2⁹⁰⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

906801 is a deficient number, since it is larger than the sum of its proper divisors (523599).

906801 is a wasteful number, since it uses less digits than its factorization.

906801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 906801 is about 952.2609936357. The cubic root of 906801 is about 96.7915244839.

The spelling of 906801 in words is "nine hundred six thousand, eight hundred one".