688288 has 24 divisors (see below), whose sum is σ = 1373652. Its totient is φ = 339456.

The previous prime is 688277. The next prime is 688297. The reversal of 688288 is 882886.

It can be written as a sum of positive squares in 2 ways, for example, as 685584 + 2704 = 828^2 + 52^2 .

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 688288.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4306 + ... + 4462.

2⁶⁸⁸²⁸⁸ is an apocalyptic number.

It is an amenable number.

688288 is a deficient number, since it is larger than the sum of its proper divisors (685364).

688288 is a wasteful number, since it uses less digits than its factorization.

688288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its digits is 49152, while the sum is 40.

The square root of 688288 is about 829.6312433847. The cubic root of 688288 is about 88.2924156838.

The spelling of 688288 in words is "six hundred eighty-eight thousand, two hundred eighty-eight".