688344 has 64 divisors (see below), whose sum is σ = 1900800. Its totient is φ = 206976.

The previous prime is 688339. The next prime is 688357. The reversal of 688344 is 443886.

688344 = T₁₅₇ + T₁₅₈ + ... + T₁₉₉.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

688344 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 15 ways as a sum of consecutive naturals, for example, 15987 + ... + 16029.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2⁶⁸⁸³⁴⁴ 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 688344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950400).

688344 is an abundant number, since it is smaller than the sum of its proper divisors (1212456).

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

688344 is a wasteful number, since it uses less digits than its factorization.

688344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 688344 is about 829.6649926326. The cubic root of 688344 is about 88.2948101472.

The spelling of 688344 in words is "six hundred eighty-eight thousand, three hundred forty-four".