263268 has 36 divisors (see below), whose sum is σ = 681408. Its totient is φ = 85680.

The previous prime is 263267. The next prime is 263269. The reversal of 263268 is 862362.

It is an interprime number because it is at equal distance from previous prime (263267) and next prime (263269).

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

It is not an unprimeable number, because it can be changed into a prime (263267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2505 + ... + 2607.

It is an arithmetic number, because the mean of its divisors is an integer number (18928).

2²⁶³²⁶⁸ 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 263268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340704).

263268 is an abundant number, since it is smaller than the sum of its proper divisors (418140).

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

263268 is a wasteful number, since it uses less digits than its factorization.

263268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 263268 is about 513.0964821552. The cubic root of 263268 is about 64.0913409302.

The spelling of 263268 in words is "two hundred sixty-three thousand, two hundred sixty-eight".