680688576 has 224 divisors, whose sum is σ = 2102876160. Its totient is φ = 215654400.

The previous prime is 680688571. The next prime is 680688583. The reversal of 680688576 is 675886086.

680688576 is a `hidden beast` number, since 6 + 8 + 0 + 68 + 8 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680688571) 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 31 ways as a sum of consecutive naturals, for example, 5196031 + ... + 5196161.

It is an arithmetic number, because the mean of its divisors is an integer number (9387840).

Almost surely, 2^680688576 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 680688576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051438080).

680688576 is an abundant number, since it is smaller than the sum of its proper divisors (1422187584).

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

680688576 is a wasteful number, since it uses less digits than its factorization.

680688576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 680688576 is about 26090.0091222675. The cubic root of 680688576 is about 879.6626530641.

The spelling of 680688576 in words is "six hundred eighty million, six hundred eighty-eight thousand, five hundred seventy-six".