688848 has 40 divisors (see below), whose sum is σ = 1809408. Its totient is φ = 225792.

The previous prime is 688813. The next prime is 688861. The reversal of 688848 is 848886.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688848.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 5361 + ... + 5487.

2⁶⁸⁸⁸⁴⁸ 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 688848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904704).

688848 is an abundant number, since it is smaller than the sum of its proper divisors (1120560).

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

688848 is a wasteful number, since it uses less digits than its factorization.

688848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 688848 is about 829.9686741076. The cubic root of 688848 is about 88.3163544757.

The spelling of 688848 in words is "six hundred eighty-eight thousand, eight hundred forty-eight".