688608 has 48 divisors (see below), whose sum is σ = 2010960. Its totient is φ = 229248.

The previous prime is 688591. The next prime is 688621. The reversal of 688608 is 806886.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 688608.

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, 466 + ... + 1262.

It is an arithmetic number, because the mean of its divisors is an integer number (41895).

2⁶⁸⁸⁶⁰⁸ 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 688608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480).

688608 is an abundant number, since it is smaller than the sum of its proper divisors (1322352).

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

688608 is a wasteful number, since it uses less digits than its factorization.

688608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 688608 is about 829.8240777418. The cubic root of 688608 is about 88.3060965827.

It can be divided in two parts, 688 and 608, that added together give a 4-th power (1296 = 6⁴).

The spelling of 688608 in words is "six hundred eighty-eight thousand, six hundred eight".