263328 has 48 divisors (see below), whose sum is σ = 747936. Its totient is φ = 80640.

The previous prime is 263323. The next prime is 263369. The reversal of 263328 is 823362.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹⁰ + 6 + 3² + 3⁴ + 2¹⁸ + 8² .

It is a junction number, because it is equal to n+sod(n) for n = 263298 and 263307.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 263328.

It is not an unprimeable number, because it can be changed into a prime (263323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (15582).

2²⁶³³²⁸ 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 263328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373968).

263328 is an abundant number, since it is smaller than the sum of its proper divisors (484608).

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

263328 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (263327) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (237).

263328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 263328 is about 513.1549473600. The cubic root of 263328 is about 64.0962094651.

The spelling of 263328 in words is "two hundred sixty-three thousand, three hundred twenty-eight".