688608000 has 288 divisors, whose sum is σ = 2544534720. Its totient is φ = 183398400.

The previous prime is 688607957. The next prime is 688608049. The reversal of 688608000 is 806886.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863602 + ... + 864398.

It is an arithmetic number, because the mean of its divisors is an integer number (8835190).

Almost surely, 2^688608000 is an apocalyptic number.

688608000 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 688608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272267360).

688608000 is an abundant number, since it is smaller than the sum of its proper divisors (1855926720).

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

688608000 is an equidigital number, since it uses as much as digits as its factorization.

688608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 807 counting only the distinct ones).

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

The square root of 688608000 is about 26241.3414291267. The cubic root of 688608000 is about 883.0609658269.

It can be divided in two parts, 68 and 8608000, that added together give a palindrome (8608068).

The spelling of 688608000 in words is "six hundred eighty-eight million, six hundred eight thousand".