264320 has 64 divisors (see below), whose sum is σ = 734400. Its totient is φ = 89088.

The previous prime is 264301. The next prime is 264323. The reversal of 264320 is 23462.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (264323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4451 + ... + 4509.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2²⁶⁴³²⁰ is an apocalyptic number.

264320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367200).

264320 is an abundant number, since it is smaller than the sum of its proper divisors (470080).

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

264320 is an equidigital number, since it uses as much as digits as its factorization.

264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 264320 is about 514.1206084179. The cubic root of 264320 is about 64.1765956038.

Adding to 264320 its reverse (23462), we get a palindrome (287782).

The spelling of 264320 in words is "two hundred sixty-four thousand, three hundred twenty".