846564 has 48 divisors (see below), whose sum is σ = 2150400. Its totient is φ = 258336.

The previous prime is 846563. The next prime is 846577. The reversal of 846564 is 465648.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 846564.

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 15 ways as a sum of consecutive naturals, for example, 10677 + ... + 10755.

It is an arithmetic number, because the mean of its divisors is an integer number (44800).

2⁸⁴⁶⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075200).

846564 is an abundant number, since it is smaller than the sum of its proper divisors (1303836).

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

846564 is a wasteful number, since it uses less digits than its factorization.

846564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 150 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 846564 is about 920.0891261177. The cubic root of 846564 is about 94.5990115915.

The spelling of 846564 in words is "eight hundred forty-six thousand, five hundred sixty-four".