688338 has 40 divisors (see below), whose sum is σ = 1765632. Its totient is φ = 196344.

The previous prime is 688333. The next prime is 688339. The reversal of 688338 is 833886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688333) by changing a digit.

688338 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 (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 831 + ... + 1437.

2⁶⁸⁸³³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882816).

688338 is an abundant number, since it is smaller than the sum of its proper divisors (1077294).

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

688338 is a wasteful number, since it uses less digits than its factorization.

688338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 619 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 688338 is about 829.6613767074. The cubic root of 688338 is about 88.2945536037.

The spelling of 688338 in words is "six hundred eighty-eight thousand, three hundred thirty-eight".