846396 has 48 divisors (see below), whose sum is σ = 2328480. Its totient is φ = 264960.

The previous prime is 846389. The next prime is 846397. The reversal of 846396 is 693648.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 846396.

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 846396.

It is not an unprimeable number, because it can be changed into a prime (846397) 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, 1606 + ... + 2066.

It is an arithmetic number, because the mean of its divisors is an integer number (48510).

2⁸⁴⁶³⁹⁶ 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 846396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164240).

846396 is an abundant number, since it is smaller than the sum of its proper divisors (1482084).

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

846396 is a wasteful number, since it uses less digits than its factorization.

846396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 846396 is about 919.9978260844. The cubic root of 846396 is about 94.5927534762.

The spelling of 846396 in words is "eight hundred forty-six thousand, three hundred ninety-six".