846612 has 72 divisors (see below), whose sum is σ = 2425696. Its totient is φ = 256608.

The previous prime is 846589. The next prime is 846647. The reversal of 846612 is 216648.

846612 is a `hidden beast` number, since 8 + 46 + 612 = 666.

846612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 846612.

It is an unprimeable number.

846612 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12603 + ... + 12669.

2⁸⁴⁶⁶¹² 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 846612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212848).

846612 is an abundant number, since it is smaller than the sum of its proper divisors (1579084).

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

846612 is a wasteful number, since it uses less digits than its factorization.

846612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 846612 is about 920.1152101775. The cubic root of 846612 is about 94.6007994724.

The spelling of 846612 in words is "eight hundred forty-six thousand, six hundred twelve".