263856 has 40 divisors (see below), whose sum is σ = 714240. Its totient is φ = 83776.

The previous prime is 263849. The next prime is 263863. The reversal of 263856 is 658362.

It is an interprime number because it is at equal distance from previous prime (263849) and next prime (263863).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 263856.

It is an unprimeable number.

263856 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, 985 + ... + 1223.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

2²⁶³⁸⁵⁶ 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 263856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120).

263856 is an abundant number, since it is smaller than the sum of its proper divisors (450384).

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

263856 is a wasteful number, since it uses less digits than its factorization.

263856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

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

The square root of 263856 is about 513.6691542228. The cubic root of 263856 is about 64.1390207174.

The spelling of 263856 in words is "two hundred sixty-three thousand, eight hundred fifty-six".