263844 has 48 divisors (see below), whose sum is σ = 784000. Its totient is φ = 75168.

The previous prime is 263843. The next prime is 263849. The reversal of 263844 is 448362.

It is a super-2 number, since 2×263844² = 139227312672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 263844.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582 + ... + 930.

2²⁶³⁸⁴⁴ 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 263844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392000).

263844 is an abundant number, since it is smaller than the sum of its proper divisors (520156).

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

263844 is a wasteful number, since it uses less digits than its factorization.

263844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 263844 is about 513.6574734198. The cubic root of 263844 is about 64.1380483689.

The spelling of 263844 in words is "two hundred sixty-three thousand, eight hundred forty-four".