688857 has 16 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 398592.

The previous prime is 688813. The next prime is 688861. The reversal of 688857 is 758886.

It is a happy number.

It is not a de Polignac number, because 688857 - 2⁷ = 688729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (688867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144 + ... + 1182.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

2⁶⁸⁸⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

688857 is a deficient number, since it is larger than the sum of its proper divisors (359463).

688857 is a wasteful number, since it uses less digits than its factorization.

688857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072.

The product of its digits is 107520, while the sum is 42.

The square root of 688857 is about 829.9740959813. The cubic root of 688857 is about 88.3167391003.

The spelling of 688857 in words is "six hundred eighty-eight thousand, eight hundred fifty-seven".