688065 has 16 divisors (see below), whose sum is σ = 1258368. Its totient is φ = 314496.

The previous prime is 688063. The next prime is 688067. The reversal of 688065 is 560886.

It is an interprime number because it is at equal distance from previous prime (688063) and next prime (688067).

It is not a de Polignac number, because 688065 - 2¹ = 688063 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688065.

It is not an unprimeable number, because it can be changed into a prime (688063) 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, 3172 + ... + 3381.

It is an arithmetic number, because the mean of its divisors is an integer number (78648).

2⁶⁸⁸⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

688065 is a deficient number, since it is larger than the sum of its proper divisors (570303).

688065 is a wasteful number, since it uses less digits than its factorization.

688065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6568.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 688065 is about 829.4968354370. The cubic root of 688065 is about 88.2828793001.

The spelling of 688065 in words is "six hundred eighty-eight thousand, sixty-five".