846656 has 14 divisors (see below), whose sum is σ = 1680210. Its totient is φ = 423296.

The previous prime is 846647. The next prime is 846661. The reversal of 846656 is 656648.

It can be written as a sum of positive squares in only one way, i.e., 846400 + 256 = 920^2 + 16^2 .

It is a congruent number.

It is an unprimeable number.

846656 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 as a sum of consecutive naturals, namely, 6551 + ... + 6678.

It is an arithmetic number, because the mean of its divisors is an integer number (120015).

846656 is a Friedman number, since it can be written as 6^6+8*(6+4)^5, using all its digits and the basic arithmetic operations.

2⁸⁴⁶⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

846656 is a deficient number, since it is larger than the sum of its proper divisors (833554).

846656 is a wasteful number, since it uses less digits than its factorization.

846656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13241 (or 13231 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 846656 is about 920.1391199161. The cubic root of 846656 is about 94.6024383038.

It can be divided in two parts, 8 and 46656, that multiplied together give a cube (373248 = 72³).

The spelling of 846656 in words is "eight hundred forty-six thousand, six hundred fifty-six".