680023680 has 256 divisors, whose sum is σ = 2608588800. Its totient is φ = 147197952.

The previous prime is 680023679. The next prime is 680023693. The reversal of 680023680 is 86320086.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254029 + ... + 256691.

It is an arithmetic number, because the mean of its divisors is an integer number (10189800).

Almost surely, 2^680023680 is an apocalyptic number.

680023680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304294400).

680023680 is an abundant number, since it is smaller than the sum of its proper divisors (1928565120).

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

680023680 is a wasteful number, since it uses less digits than its factorization.

680023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 680023680 is about 26077.2636601312. The cubic root of 680023680 is about 879.3761418550.

The spelling of 680023680 in words is "six hundred eighty million, twenty-three thousand, six hundred eighty".