688320000 has 300 divisors, whose sum is σ = 2492764560. Its totient is φ = 182784000.

The previous prime is 688319999. The next prime is 688320007. The reversal of 688320000 is 23886.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688320007) 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 29 ways as a sum of consecutive naturals, for example, 2879881 + ... + 2880119.

Almost surely, 2^688320000 is an apocalyptic number.

688320000 is a gapful number since it is divisible by the number (60) 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 688320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246382280).

688320000 is an abundant number, since it is smaller than the sum of its proper divisors (1804444560).

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

688320000 is an equidigital number, since it uses as much as digits as its factorization.

688320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 688320000 is about 26235.8533308905. The cubic root of 688320000 is about 882.9378396449.

Adding to 688320000 its reverse (23886), we get a palindrome (688343886).

The spelling of 688320000 in words is "six hundred eighty-eight million, three hundred twenty thousand".