853688 has 32 divisors (see below), whose sum is σ = 1782000. Its totient is φ = 380160.

The previous prime is 853687. The next prime is 853693. The reversal of 853688 is 886358.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853687) 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, 7778 + ... + 7886.

2⁸⁵³⁶⁸⁸ is an apocalyptic number.

853688 is a gapful number since it is divisible by the number (88) 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 853688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891000).

853688 is an abundant number, since it is smaller than the sum of its proper divisors (928312).

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

853688 is a wasteful number, since it uses less digits than its factorization.

853688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 853688 is about 923.9523797253. The cubic root of 853688 is about 94.8636270443.

It can be divided in two parts, 85 and 3688, that added together give a palindrome (3773).

The spelling of 853688 in words is "eight hundred fifty-three thousand, six hundred eighty-eight".