688004 has 6 divisors (see below), whose sum is σ = 1204014. Its totient is φ = 344000.

The previous prime is 688003. The next prime is 688013. The reversal of 688004 is 400886.

It can be written as a sum of positive squares in only one way, i.e., 565504 + 122500 = 752^2 + 350^2 .

It is not an unprimeable number, because it can be changed into a prime (688003) 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 as a sum of consecutive naturals, namely, 85997 + ... + 86004.

It is an arithmetic number, because the mean of its divisors is an integer number (200669).

2⁶⁸⁸⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

688004 is a deficient number, since it is larger than the sum of its proper divisors (516010).

688004 is a wasteful number, since it uses less digits than its factorization.

688004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172005 (or 172003 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 688004 is about 829.4600653437. The cubic root of 688004 is about 88.2802703340.

The spelling of 688004 in words is "six hundred eighty-eight thousand, four".