687328 has 24 divisors (see below), whose sum is σ = 1384992. Its totient is φ = 335616.

The previous prime is 687317. The next prime is 687331. The reversal of 687328 is 823786.

It is a happy number.

687328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 687293 and 687302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1276 + ... + 1732.

It is an arithmetic number, because the mean of its divisors is an integer number (57708).

2⁶⁸⁷³²⁸ 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 687328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692496).

687328 is an abundant number, since it is smaller than the sum of its proper divisors (697664).

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

687328 is a wasteful number, since it uses less digits than its factorization.

687328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 687328 is about 829.0524711983. The cubic root of 687328 is about 88.2513475279.

It can be divided in two parts, 68 and 7328, that added together give a square (7396 = 86²).

The spelling of 687328 in words is "six hundred eighty-seven thousand, three hundred twenty-eight".