688168 has 24 divisors (see below), whose sum is σ = 1399950. Its totient is φ = 316992.

The previous prime is 688159. The next prime is 688187. The reversal of 688168 is 861886.

It can be written as a sum of positive squares in 3 ways, for example, as 459684 + 228484 = 678^2 + 478^2 .

It is an unprimeable number.

688168 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 1098 + ... + 1606.

2⁶⁸⁸¹⁶⁸ 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 688168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699975).

688168 is an abundant number, since it is smaller than the sum of its proper divisors (711782).

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

688168 is a wasteful number, since it uses less digits than its factorization.

688168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 524 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 688168 is about 829.5589189443. The cubic root of 688168 is about 88.2872842535.

The spelling of 688168 in words is "six hundred eighty-eight thousand, one hundred sixty-eight".