803264 has 56 divisors (see below), whose sum is σ = 1999488. Its totient is φ = 311040.

The previous prime is 803251. The next prime is 803269. The reversal of 803264 is 462308.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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

803264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4847 + ... + 5009.

2⁸⁰³²⁶⁴ 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 803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999744).

803264 is an abundant number, since it is smaller than the sum of its proper divisors (1196224).

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

803264 is a wasteful number, since it uses less digits than its factorization.

803264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 803264 is about 896.2499651325. The cubic root of 803264 is about 92.9578565750.

The spelling of 803264 in words is "eight hundred three thousand, two hundred sixty-four".