688566 has 8 divisors (see below), whose sum is σ = 1377144. Its totient is φ = 229520.

The previous prime is 688561. The next prime is 688573. The reversal of 688566 is 665886.

It is a sphenic number, since it is the product of 3 distinct primes.

688566 is an admirable number.

It is a Curzon number.

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 688566.

It is not an unprimeable number, because it can be changed into a prime (688561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57375 + ... + 57386.

It is an arithmetic number, because the mean of its divisors is an integer number (172143).

2⁶⁸⁸⁵⁶⁶ is an apocalyptic number.

688566 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

688566 is a wasteful number, since it uses less digits than its factorization.

688566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114766.

The product of its digits is 69120, while the sum is 39.

The square root of 688566 is about 829.7987707872. The cubic root of 688566 is about 88.3043012064.

The spelling of 688566 in words is "six hundred eighty-eight thousand, five hundred sixty-six".