688896 has 108 divisors (see below), whose sum is σ = 2232048. Its totient is φ = 202752.

The previous prime is 688889. The next prime is 688907. The reversal of 688896 is 698886.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

688896 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 11 ways as a sum of consecutive naturals, for example, 29941 + ... + 29963.

2⁶⁸⁸⁸⁹⁶ 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 688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116024).

688896 is an abundant number, since it is smaller than the sum of its proper divisors (1543152).

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

688896 is a wasteful number, since it uses less digits than its factorization.

688896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 41 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 688896 is about 829.9975903579. The cubic root of 688896 is about 88.3184057683.

The spelling of 688896 in words is "six hundred eighty-eight thousand, eight hundred ninety-six".