675688 has 32 divisors (see below), whose sum is σ = 1398600. Its totient is φ = 304128.

The previous prime is 675643. The next prime is 675713. The reversal of 675688 is 886576.

675688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 381924 + 293764 = 618^2 + 542^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 675688.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7548 + ... + 7636.

2⁶⁷⁵⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699300).

675688 is an abundant number, since it is smaller than the sum of its proper divisors (722912).

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

675688 is a wasteful number, since it uses less digits than its factorization.

675688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 177 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 675688 is about 822.0024330864. The cubic root of 675688 is about 87.7503253479.

It can be divided in two parts, 67568 and 8, that added together give a palindrome (67576).

The spelling of 675688 in words is "six hundred seventy-five thousand, six hundred eighty-eight".