680061072 has 80 divisors (see below), whose sum is σ = 1872896000. Its totient is φ = 212015232.

The previous prime is 680061059. The next prime is 680061101. The reversal of 680061072 is 270160086.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67329 + ... + 76767.

It is an arithmetic number, because the mean of its divisors is an integer number (23411200).

Almost surely, 2^680061072 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 680061072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936448000).

680061072 is an abundant number, since it is smaller than the sum of its proper divisors (1192834928).

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

680061072 is a wasteful number, since it uses less digits than its factorization.

680061072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9548 (or 9542 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 680061072 is about 26077.9805966643. The cubic root of 680061072 is about 879.3922594457.

The spelling of 680061072 in words is "six hundred eighty million, sixty-one thousand, seventy-two".