680313600 has 432 divisors, whose sum is σ = 2595389440. Its totient is φ = 174182400.

The previous prime is 680313583. The next prime is 680313607. The reversal of 680313600 is 6313086.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680313607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5356737 + ... + 5356863.

Almost surely, 2^680313600 is an apocalyptic number.

680313600 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 680313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297694720).

680313600 is an abundant number, since it is smaller than the sum of its proper divisors (1915075840).

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

680313600 is a wasteful number, since it uses less digits than its factorization.

680313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 680313600 is about 26082.8219332188. The cubic root of 680313600 is about 879.5010946155.

Adding to 680313600 its reverse (6313086), we get a palindrome (686626686).

It can be divided in two parts, 68031 and 3600, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 680313600 in words is "six hundred eighty million, three hundred thirteen thousand, six hundred".