32444560 has 80 divisors (see below), whose sum is σ = 78963696. Its totient is φ = 12386304.

The previous prime is 32444557. The next prime is 32444561. The reversal of 32444560 is 6544423.

It can be written as a sum of positive squares in 8 ways, for example, as 1218816 + 31225744 = 1104^2 + 5588^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (32444561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287064 + ... + 287176.

Almost surely, 2^32444560 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 32444560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39481848).

32444560 is an abundant number, since it is smaller than the sum of its proper divisors (46519136).

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

32444560 is a wasteful number, since it uses less digits than its factorization.

32444560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 32444560 is about 5696.0126404354. The cubic root of 32444560 is about 318.9436521576.

Adding to 32444560 its reverse (6544423), we get a palindrome (38988983).

The spelling of 32444560 in words is "thirty-two million, four hundred forty-four thousand, five hundred sixty".