680638560 has 192 divisors, whose sum is σ = 2467003392. Its totient is φ = 154515456.

The previous prime is 680638547. The next prime is 680638579. The reversal of 680638560 is 65836086.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 560514 + ... + 561726.

It is an arithmetic number, because the mean of its divisors is an integer number (12848976).

Almost surely, 2^680638560 is an apocalyptic number.

680638560 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 680638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233501696).

680638560 is an abundant number, since it is smaller than the sum of its proper divisors (1786364832).

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

680638560 is a wasteful number, since it uses less digits than its factorization.

680638560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 680638560 is about 26089.0505768225. The cubic root of 680638560 is about 879.6411070951.

The spelling of 680638560 in words is "six hundred eighty million, six hundred thirty-eight thousand, five hundred sixty".