263296 has 48 divisors (see below), whose sum is σ = 610470. Its totient is φ = 112640.

The previous prime is 263293. The next prime is 263303. The reversal of 263296 is 692362.

It can be written as a sum of positive squares in only one way, i.e., 193600 + 69696 = 440^2 + 264^2 .

It is a d-powerful number, because it can be written as 2⁷ + 6² + 2¹⁵ + 3¹¹ + 9⁴ + 6⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15480 + ... + 15496.

2²⁶³²⁹⁶ 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 263296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305235).

263296 is an abundant number, since it is smaller than the sum of its proper divisors (347174).

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

263296 is a wasteful number, since it uses less digits than its factorization.

263296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 30 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

The square root of 263296 is about 513.1237667464. The cubic root of 263296 is about 64.0936130052.

It can be divided in two parts, 26329 and 6, that added together give a triangular number (26335 = T₂₂₉).

The spelling of 263296 in words is "two hundred sixty-three thousand, two hundred ninety-six".