803268 has 36 divisors (see below), whose sum is σ = 2073708. Its totient is φ = 262080.

The previous prime is 803251. The next prime is 803269. The reversal of 803268 is 862308.

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 589824 = 462^2 + 768^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 803268.

It is not an unprimeable number, because it can be changed into a prime (803269) by changing a digit.

803268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1698 + ... + 2118.

It is an arithmetic number, because the mean of its divisors is an integer number (57603).

2⁸⁰³²⁶⁸ 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 803268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036854).

803268 is an abundant number, since it is smaller than the sum of its proper divisors (1270440).

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

803268 is a wasteful number, since it uses less digits than its factorization.

803268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 803268 is about 896.2521966500. The cubic root of 803268 is about 92.9580108750.

It can be divided in two parts, 8032 and 68, that added together give a square (8100 = 90²).

The spelling of 803268 in words is "eight hundred three thousand, two hundred sixty-eight".