846609 has 8 divisors (see below), whose sum is σ = 1156512. Its totient is φ = 550560.

The previous prime is 846589. The next prime is 846647. The reversal of 846609 is 906648.

846609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 846609 - 2⁵ = 846577 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 846609.

It is not an unprimeable number, because it can be changed into a prime (846689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3319 + ... + 3564.

It is an arithmetic number, because the mean of its divisors is an integer number (144564).

2⁸⁴⁶⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

846609 is a deficient number, since it is larger than the sum of its proper divisors (309903).

846609 is a wasteful number, since it uses less digits than its factorization.

846609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6927.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 846609 is about 920.1135799454. The cubic root of 846609 is about 94.6006877318.

The spelling of 846609 in words is "eight hundred forty-six thousand, six hundred nine".