683328960 has 280 divisors, whose sum is σ = 2493879696. Its totient is φ = 177500160.

The previous prime is 683328931. The next prime is 683329007. The reversal of 683328960 is 69823386.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1062399 + ... + 1063041.

Almost surely, 2^683328960 is an apocalyptic number.

683328960 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 683328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246939848).

683328960 is an abundant number, since it is smaller than the sum of its proper divisors (1810550736).

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

683328960 is a wasteful number, since it uses less digits than its factorization.

683328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 683328960 is about 26140.5615853983. The cubic root of 683328960 is about 880.7985863708.

The spelling of 683328960 in words is "six hundred eighty-three million, three hundred twenty-eight thousand, nine hundred sixty".