680944320 has 448 divisors, whose sum is σ = 2799283200. Its totient is φ = 154524672.

The previous prime is 680944309. The next prime is 680944321. The reversal of 680944320 is 23449086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (680944321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4898811 + ... + 4898949.

It is an arithmetic number, because the mean of its divisors is an integer number (6248400).

Almost surely, 2^680944320 is an apocalyptic number.

680944320 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 680944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399641600).

680944320 is an abundant number, since it is smaller than the sum of its proper divisors (2118338880).

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

680944320 is an equidigital number, since it uses as much as digits as its factorization.

680944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 680944320 is about 26094.9098484743. The cubic root of 680944320 is about 879.7728063632.

The spelling of 680944320 in words is "six hundred eighty million, nine hundred forty-four thousand, three hundred twenty".