1903680000 has 300 divisors, whose sum is σ = 6875875578. Its totient is φ = 506880000.

The previous prime is 1903679983. The next prime is 1903680019. The reversal of 1903680000 is 863091.

It can be written as a sum of positive squares in 5 ways, for example, as 131606784 + 1772073216 = 11472^2 + 42096^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879670 + ... + 2880330.

Almost surely, 2^1903680000 is an apocalyptic number.

1903680000 is a gapful number since it is divisible by the number (10) 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 1903680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437937789).

1903680000 is an abundant number, since it is smaller than the sum of its proper divisors (4972195578).

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

1903680000 is an frugal number, since it uses more digits than its factorization.

1903680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1903680000 is about 43631.1815104748. The cubic root of 1903680000 is about 1239.3614471539.

The spelling of 1903680000 in words is "one billion, nine hundred three million, six hundred eighty thousand".