680520960 has 576 divisors, whose sum is σ = 2884492800. Its totient is φ = 148635648.

The previous prime is 680520949. The next prime is 680520961. The reversal of 680520960 is 69025086.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680520961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7015632 + ... + 7015728.

It is an arithmetic number, because the mean of its divisors is an integer number (5007800).

Almost surely, 2^680520960 is an apocalyptic number.

680520960 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 680520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442246400).

680520960 is an abundant number, since it is smaller than the sum of its proper divisors (2203971840).

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

680520960 is a wasteful number, since it uses less digits than its factorization.

680520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 680520960 is about 26086.7966603797. The cubic root of 680520960 is about 879.5904430283.

The spelling of 680520960 in words is "six hundred eighty million, five hundred twenty thousand, nine hundred sixty".