803271168 has 200 divisors, whose sum is σ = 2741050752. Its totient is φ = 229423104.

The previous prime is 803271121. The next prime is 803271173. The reversal of 803271168 is 861172308.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 288921 + ... + 291687.

Almost surely, 2^803271168 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 803271168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370525376).

803271168 is an abundant number, since it is smaller than the sum of its proper divisors (1937779584).

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

803271168 is an equidigital number, since it uses as much as digits as its factorization.

803271168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 803271168 is about 28342.0388821976. The cubic root of 803271168 is about 929.5813308018.

The spelling of 803271168 in words is "eight hundred three million, two hundred seventy-one thousand, one hundred sixty-eight".