263568 has 60 divisors (see below), whose sum is σ = 761360. Its totient is φ = 78336.

The previous prime is 263567. The next prime is 263573. The reversal of 263568 is 865362.

It is a d-powerful number, because it can be written as 2¹⁸ + 6² + 5² + 3 + 6⁴ + 8² .

Its product of digits (8640) is a multiple of the sum of its prime factors (64).

It is not an unprimeable number, because it can be changed into a prime (263561) 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, 13863 + ... + 13881.

2²⁶³⁵⁶⁸ 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 263568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380680).

263568 is an abundant number, since it is smaller than the sum of its proper divisors (497792).

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

263568 is a wasteful number, since it uses less digits than its factorization.

263568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 263568 is about 513.3887415984. The cubic root of 263568 is about 64.1156762128.

The spelling of 263568 in words is "two hundred sixty-three thousand, five hundred sixty-eight".