680568000 has 224 divisors, whose sum is σ = 2568903168. Its totient is φ = 155520000.

The previous prime is 680567963. The next prime is 680568001. The reversal of 680568000 is 865086.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680568001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165975 + ... + 170025.

Almost surely, 2^680568000 is an apocalyptic number.

680568000 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 680568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284451584).

680568000 is an abundant number, since it is smaller than the sum of its proper divisors (1888335168).

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

680568000 is a wasteful number, since it uses less digits than its factorization.

680568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 680568000 is about 26087.6982503248. The cubic root of 680568000 is about 879.6107093554.

The spelling of 680568000 in words is "six hundred eighty million, five hundred sixty-eight thousand".