688064 has 28 divisors (see below), whose sum is σ = 1472184. Its totient is φ = 317184.

The previous prime is 688063. The next prime is 688067. The reversal of 688064 is 460886.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 688064.

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 688064.

It is not an unprimeable number, because it can be changed into a prime (688063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 419 + ... + 1245.

It is an arithmetic number, because the mean of its divisors is an integer number (52578).

2⁶⁸⁸⁰⁶⁴ is an apocalyptic number.

688064 is a gapful number since it is divisible by the number (64) 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 688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736092).

688064 is an abundant number, since it is smaller than the sum of its proper divisors (784120).

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

688064 is a wasteful number, since it uses less digits than its factorization.

688064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 688064 is about 829.4962326617. The cubic root of 688064 is about 88.2828365314.

The spelling of 688064 in words is "six hundred eighty-eight thousand, sixty-four".