263744 has 28 divisors (see below), whose sum is σ = 565404. Its totient is φ = 121344.

The previous prime is 263737. The next prime is 263759. The reversal of 263744 is 447362.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25600 + 238144 = 160^2 + 488^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 2⁵ + 6⁴ + 7 + 3² + 4⁴ + 4⁹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 674 + ... + 990.

It is an arithmetic number, because the mean of its divisors is an integer number (20193).

2²⁶³⁷⁴⁴ 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 263744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282702).

263744 is an abundant number, since it is smaller than the sum of its proper divisors (301660).

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

263744 is a wasteful number, since it uses less digits than its factorization.

263744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its digits is 4032, while the sum is 26.

The square root of 263744 is about 513.5601230625. The cubic root of 263744 is about 64.1299443184.

It can be divided in two parts, 26 and 3744, that multiplied together give a square (97344 = 312²).

The spelling of 263744 in words is "two hundred sixty-three thousand, seven hundred forty-four".