680205312 has 132 divisors (see below), whose sum is σ = 2050111440. Its totient is φ = 216809472.

The previous prime is 680205311. The next prime is 680205349. The reversal of 680205312 is 213502086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680205311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210364 + ... + 213572.

Almost surely, 2^680205312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025055720).

680205312 is an abundant number, since it is smaller than the sum of its proper divisors (1369906128).

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

680205312 is a wasteful number, since it uses less digits than its factorization.

680205312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 680205312 is about 26080.7460016005. The cubic root of 680205312 is about 879.4544276724.

Adding to 680205312 its reverse (213502086), we get a palindrome (893707398).

The spelling of 680205312 in words is "six hundred eighty million, two hundred five thousand, three hundred twelve".