32625216 has 84 divisors (see below), whose sum is σ = 100730812. Its totient is φ = 10036224.

The previous prime is 32625209. The next prime is 32625221. The reversal of 32625216 is 61252623.

32625216 is a `hidden beast` number, since 32 + 625 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 10497600 = 4704^2 + 3240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32625216.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5310 + ... + 9666.

Almost surely, 2^32625216 is an apocalyptic number.

32625216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32625216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50365406).

32625216 is an abundant number, since it is smaller than the sum of its proper divisors (68105596).

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

32625216 is a wasteful number, since it uses less digits than its factorization.

32625216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4375 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 32625216 is about 5711.8487374930. The cubic root of 32625216 is about 319.5345315965.

Adding to 32625216 its reverse (61252623), we get a palindrome (93877839).

The spelling of 32625216 in words is "thirty-two million, six hundred twenty-five thousand, two hundred sixteen".