688744 has 32 divisors (see below), whose sum is σ = 1512000. Its totient is φ = 294000.

The previous prime is 688741. The next prime is 688747. The reversal of 688744 is 447886.

It is an interprime number because it is at equal distance from previous prime (688741) and next prime (688747).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (688741) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2619 + ... + 2869.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2⁶⁸⁸⁷⁴⁴ 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 688744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756000).

688744 is an abundant number, since it is smaller than the sum of its proper divisors (823256).

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

688744 is a wasteful number, since it uses less digits than its factorization.

688744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 260 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 688744 is about 829.9060187756. The cubic root of 688744 is about 88.3119096813.

The spelling of 688744 in words is "six hundred eighty-eight thousand, seven hundred forty-four".