688016 has 20 divisors (see below), whose sum is σ = 1523712. Its totient is φ = 294816.

The previous prime is 688013. The next prime is 688027. The reversal of 688016 is 610886.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 688016.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688016.

It is not an unprimeable number, because it can be changed into a prime (688013) 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 3 ways as a sum of consecutive naturals, for example, 2960 + ... + 3183.

2⁶⁸⁸⁰¹⁶ is an apocalyptic number.

It is an amenable number.

688016 is an abundant number, since it is smaller than the sum of its proper divisors (835696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

688016 is a wasteful number, since it uses less digits than its factorization.

688016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 688016 is about 829.4672989335. The cubic root of 688016 is about 88.2807835854.

The spelling of 688016 in words is "six hundred eighty-eight thousand, sixteen".