846306 has 12 divisors (see below), whose sum is σ = 1833702. Its totient is φ = 282096.

The previous prime is 846271. The next prime is 846323. The reversal of 846306 is 603648.

It can be written as a sum of positive squares in only one way, i.e., 497025 + 349281 = 705^2 + 591^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 846306.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 23491 + ... + 23526.

2⁸⁴⁶³⁰⁶ is an apocalyptic number.

846306 is an abundant number, since it is smaller than the sum of its proper divisors (987396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

846306 is a wasteful number, since it uses less digits than its factorization.

846306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47025 (or 47022 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 846306 is about 919.9489116250. The cubic root of 846306 is about 94.5894005738.

The spelling of 846306 in words is "eight hundred forty-six thousand, three hundred six".