846561 has 8 divisors (see below), whose sum is σ = 1177920. Its totient is φ = 539792.

The previous prime is 846529. The next prime is 846563. The reversal of 846561 is 165648.

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

It is a cyclic number.

It is not a de Polignac number, because 846561 - 2⁵ = 846529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (846563) 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, 6066 + ... + 6203.

It is an arithmetic number, because the mean of its divisors is an integer number (147240).

2⁸⁴⁶⁵⁶¹ is an apocalyptic number.

It is an amenable number.

846561 is a deficient number, since it is larger than the sum of its proper divisors (331359).

846561 is a wasteful number, since it uses less digits than its factorization.

846561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12295.

The product of its digits is 5760, while the sum is 30.

The square root of 846561 is about 920.0874958394. The cubic root of 846561 is about 94.5988998467.

The spelling of 846561 in words is "eight hundred forty-six thousand, five hundred sixty-one".