875688 has 64 divisors (see below), whose sum is σ = 2488320. Its totient is φ = 254400.

The previous prime is 875683. The next prime is 875689. The reversal of 875688 is 886578.

It is a happy number.

875688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8131 + ... + 8237.

It is an arithmetic number, because the mean of its divisors is an integer number (38880).

2⁸⁷⁵⁶⁸⁸ is an apocalyptic number.

875688 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 875688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244160).

875688 is an abundant number, since it is smaller than the sum of its proper divisors (1612632).

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

875688 is a wasteful number, since it uses less digits than its factorization.

875688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 875688 is about 935.7820259013. The cubic root of 875688 is about 95.6716210788.

It can be divided in two parts, 87 and 5688, that added together give a palindrome (5775).

The spelling of 875688 in words is "eight hundred seventy-five thousand, six hundred eighty-eight".