1803306960 has 480 divisors, whose sum is σ = 7896994560. Its totient is φ = 357875712.

The previous prime is 1803306937. The next prime is 1803307001. The reversal of 1803306960 is 696033081.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1113031 + ... + 1114649.

It is an arithmetic number, because the mean of its divisors is an integer number (16452072).

Almost surely, 2^1803306960 is an apocalyptic number.

1803306960 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 1803306960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948497280).

1803306960 is an abundant number, since it is smaller than the sum of its proper divisors (6093687600).

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

1803306960 is a wasteful number, since it uses less digits than its factorization.

1803306960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1803306960 is about 42465.3618847173. The cubic root of 1803306960 is about 1217.1848914739.

The spelling of 1803306960 in words is "one billion, eight hundred three million, three hundred six thousand, nine hundred sixty".