680601600 has 432 divisors, whose sum is σ = 2798883360. Its totient is φ = 154828800.

The previous prime is 680601587. The next prime is 680601617. The reversal of 680601600 is 6106086.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3225495 + ... + 3225705.

Almost surely, 2^680601600 is an apocalyptic number.

680601600 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 680601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399441680).

680601600 is an abundant number, since it is smaller than the sum of its proper divisors (2118281760).

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

680601600 is a wasteful number, since it uses less digits than its factorization.

680601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 680601600 is about 26088.3422240663. The cubic root of 680601600 is about 879.6251847315.

Adding to 680601600 its reverse (6106086), we get a palindrome (686707686).

The spelling of 680601600 in words is "six hundred eighty million, six hundred one thousand, six hundred".