32416164 has 72 divisors (see below), whose sum is σ = 90330240. Its totient is φ = 9720000.

The previous prime is 32416157. The next prime is 32416169. The reversal of 32416164 is 46161423.

32416164 is a `hidden beast` number, since 3 + 2 + 41 + 616 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (32416169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42789 + ... + 43539.

Almost surely, 2^32416164 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 32416164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45165120).

32416164 is an abundant number, since it is smaller than the sum of its proper divisors (57914076).

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

32416164 is a wasteful number, since it uses less digits than its factorization.

32416164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 876 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 32416164 is about 5693.5194739282. The cubic root of 32416164 is about 318.8505767963.

Adding to 32416164 its reverse (46161423), we get a palindrome (78577587).

The spelling of 32416164 in words is "thirty-two million, four hundred sixteen thousand, one hundred sixty-four".