3218560 has 64 divisors (see below), whose sum is σ = 7931520. Its totient is φ = 1248256.

The previous prime is 3218533. The next prime is 3218569. The reversal of 3218560 is 658123.

It is a happy number.

3218560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (3218569) 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 7 ways as a sum of consecutive naturals, for example, 30027 + ... + 30133.

It is an arithmetic number, because the mean of its divisors is an integer number (123930).

Almost surely, 2^3218560 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 3218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965760).

3218560 is an abundant number, since it is smaller than the sum of its proper divisors (4712960).

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

3218560 is a wasteful number, since it uses less digits than its factorization.

3218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 3218560 is about 1794.0345593104. The cubic root of 3218560 is about 147.6456093458.

The spelling of 3218560 in words is "three million, two hundred eighteen thousand, five hundred sixty".