854688 has 48 divisors (see below), whose sum is σ = 2328480. Its totient is φ = 274176.

The previous prime is 854683. The next prime is 854713. The reversal of 854688 is 886458.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 854688.

It is not an unprimeable number, because it can be changed into a prime (854683) by changing a digit.

854688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2631 + ... + 2937.

It is an arithmetic number, because the mean of its divisors is an integer number (48510).

2⁸⁵⁴⁶⁸⁸ 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 854688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164240).

854688 is an abundant number, since it is smaller than the sum of its proper divisors (1473792).

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

854688 is a wasteful number, since it uses less digits than its factorization.

854688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 854688 is about 924.4933747734. The cubic root of 854688 is about 94.9006533000.

The spelling of 854688 in words is "eight hundred fifty-four thousand, six hundred eighty-eight".