32205616 has 40 divisors (see below), whose sum is σ = 66558240. Its totient is φ = 15043584.

The previous prime is 32205611. The next prime is 32205617. The reversal of 32205616 is 61650223.

Together with 34352624 it forms an amicable pair .

It is not an unprimeable number, because it can be changed into a prime (32205611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45070 + ... + 45778.

It is an arithmetic number, because the mean of its divisors is an integer number (1663956).

Almost surely, 2^32205616 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 32205616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33279120).

32205616 is an abundant number, since it is smaller than the sum of its proper divisors (34352624).

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

32205616 is a wasteful number, since it uses less digits than its factorization.

32205616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 32205616 is about 5674.9992070484. Note that the first 3 decimals coincide. The cubic root of 32205616 is about 318.1587488432.

Adding to 32205616 its reverse (61650223), we get a palindrome (93855839).

It can be divided in two parts, 3220 and 5616, that added together give a square (8836 = 94²).

The spelling of 32205616 in words is "thirty-two million, two hundred five thousand, six hundred sixteen".