687584 has 12 divisors (see below), whose sum is σ = 1353744. Its totient is φ = 343776.

The previous prime is 687581. The next prime is 687593. The reversal of 687584 is 485786.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 687584.

It is not an unprimeable number, because it can be changed into a prime (687581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10712 + ... + 10775.

It is an arithmetic number, because the mean of its divisors is an integer number (112812).

2⁶⁸⁷⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

687584 is a deficient number, since it is larger than the sum of its proper divisors (666160).

687584 is a wasteful number, since it uses less digits than its factorization.

687584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21497 (or 21489 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 687584 is about 829.2068499476. The cubic root of 687584 is about 88.2623027733.

The spelling of 687584 in words is "six hundred eighty-seven thousand, five hundred eighty-four".