320564 has 6 divisors (see below), whose sum is σ = 560994. Its totient is φ = 160280.

The previous prime is 320563. The next prime is 320591. The reversal of 320564 is 465023.

It can be written as a sum of positive squares in only one way, i.e., 258064 + 62500 = 508^2 + 250^2 .

It is a super-2 number, since 2×320564² = 205522556192, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320564.

It is not an unprimeable number, because it can be changed into a prime (320561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40067 + ... + 40074.

It is an arithmetic number, because the mean of its divisors is an integer number (93499).

2³²⁰⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

320564 is a deficient number, since it is larger than the sum of its proper divisors (240430).

320564 is a wasteful number, since it uses less digits than its factorization.

320564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80145 (or 80143 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 320564 is about 566.1837157672. The cubic root of 320564 is about 68.4391987165.

Adding to 320564 its reverse (465023), we get a palindrome (785587).

It can be divided in two parts, 3205 and 64, that multiplied together give a triangular number (205120 = T₆₄₀).

The spelling of 320564 in words is "three hundred twenty thousand, five hundred sixty-four".