846000 has 120 divisors (see below), whose sum is σ = 3017664. Its totient is φ = 220800.

The previous prime is 845989. The next prime is 846037. The reversal of 846000 is 648.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17977 + ... + 18023.

2⁸⁴⁶⁰⁰⁰ is an apocalyptic number.

846000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508832).

846000 is an abundant number, since it is smaller than the sum of its proper divisors (2171664).

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

846000 is a wasteful number, since it uses less digits than its factorization.

846000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 846000 is about 919.7825830054. The cubic root of 846000 is about 94.5779989272.

Adding to 846000 its reverse (648), we get a palindrome (846648).

It can be divided in two parts, 84 and 6000, that added together give a square (6084 = 78²).

The spelling of 846000 in words is "eight hundred forty-six thousand".