803648960 has 56 divisors (see below), whose sum is σ = 1975445376. Its totient is φ = 311086080.

The previous prime is 803648959. The next prime is 803648983. The reversal of 803648960 is 69846308.

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 7 ways as a sum of consecutive naturals, for example, 30587 + ... + 50426.

Almost surely, 2^803648960 is an apocalyptic number.

803648960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

803648960 is an abundant number, since it is smaller than the sum of its proper divisors (1171796416).

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

803648960 is a wasteful number, since it uses less digits than its factorization.

803648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81061 (or 81051 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 803648960 is about 28348.7029685663. The cubic root of 803648960 is about 929.7270405620.

The spelling of 803648960 in words is "eight hundred three million, six hundred forty-eight thousand, nine hundred sixty".