263144 has 32 divisors (see below), whose sum is σ = 583680. Its totient is φ = 108864.

The previous prime is 263129. The next prime is 263167. The reversal of 263144 is 441362.

It is a happy number.

263144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2³ + 6 + 1 + 3⁶ + 4⁴ + 4⁹ .

It is an unprimeable number.

263144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2009 + ... + 2135.

It is an arithmetic number, because the mean of its divisors is an integer number (18240).

2²⁶³¹⁴⁴ 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 263144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291840).

263144 is an abundant number, since it is smaller than the sum of its proper divisors (320536).

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

263144 is a wasteful number, since it uses less digits than its factorization.

263144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 263144 is about 512.9756329496. The cubic root of 263144 is about 64.0812769468.

The spelling of 263144 in words is "two hundred sixty-three thousand, one hundred forty-four".