687585 has 16 divisors (see below), whose sum is σ = 1148544. Its totient is φ = 350592.

The previous prime is 687581. The next prime is 687593. The reversal of 687585 is 585786.

It is a happy number.

It is not a de Polignac number, because 687585 - 2² = 687581 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 687585.

It is not an unprimeable number, because it can be changed into a prime (687581) 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, 652 + ... + 1341.

It is an arithmetic number, because the mean of its divisors is an integer number (71784).

2⁶⁸⁷⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

687585 is a deficient number, since it is larger than the sum of its proper divisors (460959).

687585 is a wasteful number, since it uses less digits than its factorization.

687585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024.

The product of its digits is 67200, while the sum is 39.

The square root of 687585 is about 829.2074529332. The cubic root of 687585 is about 88.2623455618.

The spelling of 687585 in words is "six hundred eighty-seven thousand, five hundred eighty-five".