846664 has 32 divisors (see below), whose sum is σ = 1955520. Its totient is φ = 334656.

The previous prime is 846661. The next prime is 846667. The reversal of 846664 is 466648.

846664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (846661) and next prime (846667).

It is not an unprimeable number, because it can be changed into a prime (846661) 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, 147 + ... + 1309.

It is an arithmetic number, because the mean of its divisors is an integer number (61110).

2⁸⁴⁶⁶⁶⁴ 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 846664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977760).

846664 is an abundant number, since it is smaller than the sum of its proper divisors (1108856).

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

846664 is a wasteful number, since it uses less digits than its factorization.

846664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1185 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 846664 is about 920.1434670746. The cubic root of 846664 is about 94.6027362671.

The spelling of 846664 in words is "eight hundred forty-six thousand, six hundred sixty-four".