320544 has 96 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 89856.

The previous prime is 320539. The next prime is 320561. The reversal of 320544 is 445023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

320544 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 15 ways as a sum of consecutive naturals, for example, 6022 + ... + 6074.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2³²⁰⁵⁴⁴ 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 320544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

320544 is an abundant number, since it is smaller than the sum of its proper divisors (768096).

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

320544 is a wasteful number, since it uses less digits than its factorization.

320544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 320544 is about 566.1660533801. The cubic root of 320544 is about 68.4377753789.

Adding to 320544 its reverse (445023), we get a palindrome (765567).

It can be divided in two parts, 3205 and 44, that added together give a square (3249 = 57²).

The spelling of 320544 in words is "three hundred twenty thousand, five hundred forty-four".