1683320800 has 72 divisors (see below), whose sum is σ = 4696480656. Its totient is φ = 577136640.

The previous prime is 1683320783. The next prime is 1683320819. The reversal of 1683320800 is 80233861.

1683320800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144697 + ... + 155896.

It is an arithmetic number, because the mean of its divisors is an integer number (65228898).

Almost surely, 2^1683320800 is an apocalyptic number.

1683320800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1683320800 is an abundant number, since it is smaller than the sum of its proper divisors (3013159856).

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

1683320800 is a wasteful number, since it uses less digits than its factorization.

1683320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300620 (or 300607 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 1683320800 is about 41028.2926771271. The cubic root of 1683320800 is about 1189.5671518524.

The spelling of 1683320800 in words is "one billion, six hundred eighty-three million, three hundred twenty thousand, eight hundred".