688345 has 16 divisors (see below), whose sum is σ = 960768. Its totient is φ = 463680.

The previous prime is 688339. The next prime is 688357. The reversal of 688345 is 543886.

It is not a de Polignac number, because 688345 - 2⁷ = 688217 is a prime.

It is a Duffinian number.

Its product of digits (23040) is a multiple of the sum of its prime divisors (360).

688345 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 688345.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2347 + ... + 2623.

It is an arithmetic number, because the mean of its divisors is an integer number (60048).

2⁶⁸⁸³⁴⁵ is an apocalyptic number.

It is an amenable number.

688345 is a deficient number, since it is larger than the sum of its proper divisors (272423).

688345 is a wasteful number, since it uses less digits than its factorization.

688345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360.

The product of its digits is 23040, while the sum is 34.

The square root of 688345 is about 829.6655952852. The cubic root of 688345 is about 88.2948529043.

The spelling of 688345 in words is "six hundred eighty-eight thousand, three hundred forty-five".