264288 has 24 divisors (see below), whose sum is σ = 694008. Its totient is φ = 88064.

The previous prime is 264283. The next prime is 264289. The reversal of 264288 is 882462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 2⁸ + 6⁴ + 2¹⁸ + 4² + 8² + 8³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264283) by changing a digit.

264288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1281 + ... + 1472.

It is an arithmetic number, because the mean of its divisors is an integer number (28917).

2²⁶⁴²⁸⁸ is an apocalyptic number.

It is an amenable number.

264288 is an abundant number, since it is smaller than the sum of its proper divisors (429720).

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

264288 is a wasteful number, since it uses less digits than its factorization.

264288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2758 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 264288 is about 514.0894863737. The cubic root of 264288 is about 64.1740056447.

The spelling of 264288 in words is "two hundred sixty-four thousand, two hundred eighty-eight".