320264 has 48 divisors (see below), whose sum is σ = 752400. Its totient is φ = 127008.

The previous prime is 320239. The next prime is 320267. The reversal of 320264 is 462023.

320264 = 57² + 58² + ... + 104².

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 320264 = 18³ + 68³ = 32³ + 66³.

320264 is a modest number, since divided by 264 gives 32 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320264.

It is not an unprimeable number, because it can be changed into a prime (320267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7427 + ... + 7469.

It is an arithmetic number, because the mean of its divisors is an integer number (15675).

2³²⁰²⁶⁴ 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 320264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376200).

320264 is an abundant number, since it is smaller than the sum of its proper divisors (432136).

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

320264 is a wasteful number, since it uses less digits than its factorization.

320264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

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

The square root of 320264 is about 565.9187220794. The cubic root of 320264 is about 68.4178424322.

Adding to 320264 its reverse (462023), we get a palindrome (782287).

The spelling of 320264 in words is "three hundred twenty thousand, two hundred sixty-four".