688468 has 12 divisors (see below), whose sum is σ = 1314432. Its totient is φ = 312920.

The previous prime is 688453. The next prime is 688477. The reversal of 688468 is 864886.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 688468.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7780 + ... + 7867.

It is an arithmetic number, because the mean of its divisors is an integer number (109536).

2⁶⁸⁸⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

688468 is a deficient number, since it is larger than the sum of its proper divisors (625964).

688468 is a wasteful number, since it uses less digits than its factorization.

688468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15662 (or 15660 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 688468 is about 829.7397182249. The cubic root of 688468 is about 88.3001117111.

It can be divided in two parts, 688 and 468, that added together give a square (1156 = 34²).

The spelling of 688468 in words is "six hundred eighty-eight thousand, four hundred sixty-eight".