263848 has 32 divisors (see below), whose sum is σ = 554400. Its totient is φ = 116928.

The previous prime is 263843. The next prime is 263849. The reversal of 263848 is 848362.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263843) by changing a digit.

263848 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, 4443 + ... + 4501.

It is an arithmetic number, because the mean of its divisors is an integer number (17325).

2²⁶³⁸⁴⁸ 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 263848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277200).

263848 is an abundant number, since it is smaller than the sum of its proper divisors (290552).

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

263848 is a wasteful number, since it uses less digits than its factorization.

263848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 263848 is about 513.6613670503. The cubic root of 263848 is about 64.1383724884.

It can be divided in two parts, 263 and 848, that added together give a palindrome (1111).

The spelling of 263848 in words is "two hundred sixty-three thousand, eight hundred forty-eight".