803165328 has 160 divisors (see below), whose sum is σ = 2691256320. Its totient is φ = 224553600.

The previous prime is 803165317. The next prime is 803165369. The reversal of 803165328 is 823561308.

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

It is a junction number, because it is equal to n+sod(n) for n = 803165292 and 803165301.

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 31 ways as a sum of consecutive naturals, for example, 139303 + ... + 144953.

It is an arithmetic number, because the mean of its divisors is an integer number (16820352).

Almost surely, 2^803165328 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 803165328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345628160).

803165328 is an abundant number, since it is smaller than the sum of its proper divisors (1888090992).

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

803165328 is a wasteful number, since it uses less digits than its factorization.

803165328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 803165328 is about 28340.1716296850. The cubic root of 803165328 is about 929.5405014142.

The spelling of 803165328 in words is "eight hundred three million, one hundred sixty-five thousand, three hundred twenty-eight".