680847552 has 672 divisors, whose sum is σ = 2751978240. Its totient is φ = 162570240.

The previous prime is 680847547. The next prime is 680847553. The reversal of 680847552 is 255748086.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 680847498 and 680847507.

It is not an unprimeable number, because it can be changed into a prime (680847553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15833643 + ... + 15833685.

Almost surely, 2^680847552 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 680847552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375989120).

680847552 is an abundant number, since it is smaller than the sum of its proper divisors (2071130688).

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

680847552 is a wasteful number, since it uses less digits than its factorization.

680847552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 680847552 is about 26093.0556278869. The cubic root of 680847552 is about 879.7311299806.

The spelling of 680847552 in words is "six hundred eighty million, eight hundred forty-seven thousand, five hundred fifty-two".