846640 has 40 divisors (see below), whose sum is σ = 2075760. Its totient is φ = 320256.

The previous prime is 846589. The next prime is 846647. The reversal of 846640 is 46648.

846640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 846599 and 846608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846647) 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, 1242 + ... + 1798.

It is an arithmetic number, because the mean of its divisors is an integer number (51894).

2⁸⁴⁶⁶⁴⁰ is an apocalyptic number.

846640 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 846640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037880).

846640 is an abundant number, since it is smaller than the sum of its proper divisors (1229120).

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

846640 is a wasteful number, since it uses less digits than its factorization.

846640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 846640 is about 920.1304255376. The cubic root of 846640 is about 94.6018423717.

It can be divided in two parts, 84 and 6640, that added together give a square (6724 = 82²).

The spelling of 846640 in words is "eight hundred forty-six thousand, six hundred forty".