803518368 has 96 divisors (see below), whose sum is σ = 2143132992. Its totient is φ = 263577600.

The previous prime is 803518301. The next prime is 803518393. The reversal of 803518368 is 863815308.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2276080 + ... + 2276432.

It is an arithmetic number, because the mean of its divisors is an integer number (22324302).

Almost surely, 2^803518368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803518368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071566496).

803518368 is an abundant number, since it is smaller than the sum of its proper divisors (1339614624).

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

803518368 is a wasteful number, since it uses less digits than its factorization.

803518368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 803518368 is about 28346.3995597324. The cubic root of 803518368 is about 929.6766779879.

The spelling of 803518368 in words is "eight hundred three million, five hundred eighteen thousand, three hundred sixty-eight".