803296 has 24 divisors (see below), whose sum is σ = 1704024. Its totient is φ = 370560.

The previous prime is 803287. The next prime is 803311. The reversal of 803296 is 692308.

803296 = 79² + 80² + ... + 142².

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 550 + ... + 1381.

It is an arithmetic number, because the mean of its divisors is an integer number (71001).

2⁸⁰³²⁹⁶ is an apocalyptic number.

It is an amenable number.

803296 is an abundant number, since it is smaller than the sum of its proper divisors (900728).

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

803296 is a wasteful number, since it uses less digits than its factorization.

803296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 803296 is about 896.2678171172. The cubic root of 803296 is about 92.9590909603.

It can be divided in two parts, 8032 and 96, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 803296 in words is "eight hundred three thousand, two hundred ninety-six".