847664 has 20 divisors (see below), whose sum is σ = 1696320. Its totient is φ = 409920.

The previous prime is 847663. The next prime is 847673. The reversal of 847664 is 466748.

847664 is an admirable number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 847664.

It is not an unprimeable number, because it can be changed into a prime (847663) 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 3 ways as a sum of consecutive naturals, for example, 359 + ... + 1350.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

2⁸⁴⁷⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

847664 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

847664 is a wasteful number, since it uses less digits than its factorization.

847664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1742 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 847664 is about 920.6867002406. The cubic root of 847664 is about 94.6399669022.

The spelling of 847664 in words is "eight hundred forty-seven thousand, six hundred sixty-four".