687635 has 16 divisors (see below), whose sum is σ = 907200. Its totient is φ = 497280.

The previous prime is 687623. The next prime is 687637. The reversal of 687635 is 536786.

It is a happy number.

It is not a de Polignac number, because 687635 - 2¹⁰ = 686611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 687595 and 687604.

It is not an unprimeable number, because it can be changed into a prime (687637) 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 in 15 ways as a sum of consecutive naturals, for example, 4541 + ... + 4689.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2⁶⁸⁷⁶³⁵ is an apocalyptic number.

687635 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

687635 is a deficient number, since it is larger than the sum of its proper divisors (219565).

687635 is a wasteful number, since it uses less digits than its factorization.

687635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238.

The product of its digits is 30240, while the sum is 35.

The square root of 687635 is about 829.2376016559. The cubic root of 687635 is about 88.2644849387.

The spelling of 687635 in words is "six hundred eighty-seven thousand, six hundred thirty-five".