680359680 has 864 divisors, whose sum is σ = 3214149120. Its totient is φ = 128286720.

The previous prime is 680359679. The next prime is 680359681. The reversal of 680359680 is 86953086.

It is an interprime number because it is at equal distance from previous prime (680359679) and next prime (680359681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680359681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11531491 + ... + 11531549.

It is an arithmetic number, because the mean of its divisors is an integer number (3720080).

Almost surely, 2^680359680 is an apocalyptic number.

680359680 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 680359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607074560).

680359680 is an abundant number, since it is smaller than the sum of its proper divisors (2533789440).

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

680359680 is a wasteful number, since it uses less digits than its factorization.

680359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 680359680 is about 26083.7052582642. The cubic root of 680359680 is about 879.5209513872.

The spelling of 680359680 in words is "six hundred eighty million, three hundred fifty-nine thousand, six hundred eighty".