32444416 has 39 divisors (see below), whose sum is σ = 65618101. Its totient is φ = 16039936.

The previous prime is 32444413. The next prime is 32444441. The reversal of 32444416 is 61444423.

The square root of 32444416 is 5696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6230016 + 26214400 = 2496^2 + 5120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32444411) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 364500 + ... + 364588.

Almost surely, 2^32444416 is an apocalyptic number.

32444416 is the 5696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32444416

32444416 is an abundant number, since it is smaller than the sum of its proper divisors (33173685).

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

32444416 is an frugal number, since it uses more digits than its factorization.

32444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 91 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The cubic root of 32444416 is about 318.9431802967.

Multiplying 32444416 by its product of digits (9216), we get a square (299007737856 = 546816²).

Adding to 32444416 its reverse (61444423), we get a palindrome (93888839).

The spelling of 32444416 in words is "thirty-two million, four hundred forty-four thousand, four hundred sixteen".