263364 has 24 divisors (see below), whose sum is σ = 651168. Its totient is φ = 82560.

The previous prime is 263323. The next prime is 263369. The reversal of 263364 is 463362.

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 2⁹ + 6 + 3⁵ + 3⁵ + 6³ + 4⁹ .

It is not an unprimeable number, because it can be changed into a prime (263369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442 + ... + 849.

It is an arithmetic number, because the mean of its divisors is an integer number (27132).

2²⁶³³⁶⁴ is an apocalyptic number.

It is an amenable number.

263364 is an abundant number, since it is smaller than the sum of its proper divisors (387804).

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

263364 is a wasteful number, since it uses less digits than its factorization.

263364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1313 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 263364 is about 513.1900232857. The cubic root of 263364 is about 64.0991302311.

The spelling of 263364 in words is "two hundred sixty-three thousand, three hundred sixty-four".