680905872 has 80 divisors (see below), whose sum is σ = 1958138560. Its totient is φ = 226540800.

The previous prime is 680905867. The next prime is 680905889. The reversal of 680905872 is 278509086.

680905872 is a `hidden beast` number, since 68 + 0 + 9 + 0 + 587 + 2 = 666.

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, 297372 + ... + 299652.

It is an arithmetic number, because the mean of its divisors is an integer number (24476732).

Almost surely, 2^680905872 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 680905872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979069280).

680905872 is an abundant number, since it is smaller than the sum of its proper divisors (1277232688).

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

680905872 is a wasteful number, since it uses less digits than its factorization.

680905872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 680905872 is about 26094.1731426769. The cubic root of 680905872 is about 879.7562479161.

The spelling of 680905872 in words is "six hundred eighty million, nine hundred five thousand, eight hundred seventy-two".