680896512 has 288 divisors, whose sum is σ = 2173265640. Its totient is φ = 204472320.

The previous prime is 680896511. The next prime is 680896523. The reversal of 680896512 is 215698086.

It can be written as a sum of positive squares in 4 ways, for example, as 571401216 + 109495296 = 23904^2 + 10464^2 .

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

It is a super-2 number, since 2×680896512² = 927240120107532288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (680896511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12847078 + ... + 12847130.

Almost surely, 2^680896512 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 680896512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086632820).

680896512 is an abundant number, since it is smaller than the sum of its proper divisors (1492369128).

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

680896512 is a wasteful number, since it uses less digits than its factorization.

680896512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 680896512 is about 26093.9937916755. The cubic root of 680896512 is about 879.7522167391.

The spelling of 680896512 in words is "six hundred eighty million, eight hundred ninety-six thousand, five hundred twelve".