688086 has 48 divisors (see below), whose sum is σ = 1757184. Its totient is φ = 190512.

The previous prime is 688073. The next prime is 688087. The reversal of 688086 is 680886.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 688086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5355 + ... + 5481.

It is an arithmetic number, because the mean of its divisors is an integer number (36608).

2⁶⁸⁸⁰⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878592).

688086 is an abundant number, since it is smaller than the sum of its proper divisors (1069098).

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

688086 is a wasteful number, since it uses less digits than its factorization.

688086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 688086 is about 829.5094936166. The cubic root of 688086 is about 88.2837774331.

The spelling of 688086 in words is "six hundred eighty-eight thousand, eighty-six".