688887 has 6 divisors (see below), whose sum is σ = 995072. Its totient is φ = 459252.

The previous prime is 688871. The next prime is 688889. The reversal of 688887 is 788886.

It is not a de Polignac number, because 688887 - 2⁴ = 688871 is a prime.

It is a Duffinian number.

688887 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688889) 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 5 ways as a sum of consecutive naturals, for example, 38263 + ... + 38280.

2⁶⁸⁸⁸⁸⁷ is an apocalyptic number.

688887 is a deficient number, since it is larger than the sum of its proper divisors (306185).

688887 is a wasteful number, since it uses less digits than its factorization.

688887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76549 (or 76546 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 688887 is about 829.9921686378. The cubic root of 688887 is about 88.3180211582.

Subtracting 688887 from its reverse (788886), we obtain a palindrome (99999).

The spelling of 688887 in words is "six hundred eighty-eight thousand, eight hundred eighty-seven".