906789 has 8 divisors (see below), whose sum is σ = 1302112. Its totient is φ = 558000.

The previous prime is 906779. The next prime is 906793. The reversal of 906789 is 987609.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 906789 - 2⁵ = 906757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 23251 = 906789 / (9 + 0 + 6 + 7 + 8 + 9).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906749) 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 7 ways as a sum of consecutive naturals, for example, 11587 + ... + 11664.

It is an arithmetic number, because the mean of its divisors is an integer number (162764).

2⁹⁰⁶⁷⁸⁹ is an apocalyptic number.

It is an amenable number.

906789 is a deficient number, since it is larger than the sum of its proper divisors (395323).

906789 is a wasteful number, since it uses less digits than its factorization.

906789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23267.

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 906789 is about 952.2546928212. The cubic root of 906789 is about 96.7910975238.

The spelling of 906789 in words is "nine hundred six thousand, seven hundred eighty-nine".