687306 has 16 divisors (see below), whose sum is σ = 1447200. Its totient is φ = 217008.

The previous prime is 687299. The next prime is 687307. The reversal of 687306 is 603786.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 687306.

It is not an unprimeable number, because it can be changed into a prime (687307) by changing a digit.

687306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 2901 + ... + 3128.

It is an arithmetic number, because the mean of its divisors is an integer number (90450).

2⁶⁸⁷³⁰⁶ is an apocalyptic number.

687306 is an abundant number, since it is smaller than the sum of its proper divisors (759894).

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

687306 is a wasteful number, since it uses less digits than its factorization.

687306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6053.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 687306 is about 829.0392029331. The cubic root of 687306 is about 88.2504059346.

The spelling of 687306 in words is "six hundred eighty-seven thousand, three hundred six".