688908 has 48 divisors (see below), whose sum is σ = 1862784. Its totient is φ = 195840.

The previous prime is 688907. The next prime is 688939. The reversal of 688908 is 809886.

It is not an unprimeable number, because it can be changed into a prime (688907) 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 15 ways as a sum of consecutive naturals, for example, 2091 + ... + 2397.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

2⁶⁸⁸⁹⁰⁸ is an apocalyptic number.

688908 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931392).

688908 is an abundant number, since it is smaller than the sum of its proper divisors (1173876).

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

688908 is a wasteful number, since it uses less digits than its factorization.

688908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 688908 is about 830.0048192631. The cubic root of 688908 is about 88.3189185766.

It can be divided in two parts, 688 and 908, that added together give a triangular number (1596 = T₅₆).

The spelling of 688908 in words is "six hundred eighty-eight thousand, nine hundred eight".