688575 has 12 divisors (see below), whose sum is σ = 1138568. Its totient is φ = 367200.

The previous prime is 688573. The next prime is 688591. The reversal of 688575 is 575886.

It is a happy number.

It is not a de Polignac number, because 688575 - 2¹ = 688573 is a prime.

It is a Duffinian number.

688575 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688573) 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 11 ways as a sum of consecutive naturals, for example, 4516 + ... + 4665.

2⁶⁸⁸⁵⁷⁵ is an apocalyptic number.

688575 is a deficient number, since it is larger than the sum of its proper divisors (449993).

688575 is a wasteful number, since it uses less digits than its factorization.

688575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9194 (or 9189 counting only the distinct ones).

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

The square root of 688575 is about 829.8041937710. The cubic root of 688575 is about 88.3046859360.

The spelling of 688575 in words is "six hundred eighty-eight thousand, five hundred seventy-five".