846912 has 56 divisors (see below), whose sum is σ = 2450592. Its totient is φ = 256000.

The previous prime is 846877. The next prime is 846913. The reversal of 846912 is 219648.

It is a self number, because there is not a number n which added to its sum of digits gives 846912.

It is not an unprimeable number, because it can be changed into a prime (846913) 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, 1912 + ... + 2312.

2⁸⁴⁶⁹¹² 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 846912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225296).

846912 is an abundant number, since it is smaller than the sum of its proper divisors (1603680).

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

846912 is a wasteful number, since it uses less digits than its factorization.

846912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 417 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 846912 is about 920.2782188012. The cubic root of 846912 is about 94.6119721970.

Subtracting from 846912 its reverse (219648), we obtain a square (627264 = 792²).

It can be divided in two parts, 84 and 6912, that added together give a palindrome (6996).

The spelling of 846912 in words is "eight hundred forty-six thousand, nine hundred twelve".