680848272 has 180 divisors, whose sum is σ = 2091226644. Its totient is φ = 206668800.

The previous prime is 680848243. The next prime is 680848291. The reversal of 680848272 is 272848086.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 50637456 + 630210816 = 7116^2 + 25104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2457798 + ... + 2458074.

Almost surely, 2^680848272 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 680848272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045613322).

680848272 is an abundant number, since it is smaller than the sum of its proper divisors (1410378372).

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

680848272 is a wasteful number, since it uses less digits than its factorization.

680848272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 680848272 is about 26093.0694246576. The cubic root of 680848272 is about 879.7314400873.

The spelling of 680848272 in words is "six hundred eighty million, eight hundred forty-eight thousand, two hundred seventy-two".