164444032 has 32 divisors (see below), whose sum is σ = 330810480. Its totient is φ = 81417216.

The previous prime is 164444029. The next prime is 164444039. The reversal of 164444032 is 230444461.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164444039) 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 3 ways as a sum of consecutive naturals, for example, 6948 + ... + 19420.

Almost surely, 2^164444032 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 164444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165405240).

164444032 is an abundant number, since it is smaller than the sum of its proper divisors (166366448).

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

164444032 is a wasteful number, since it uses less digits than its factorization.

164444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12590 (or 12578 counting only the distinct ones).

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

The square root of 164444032 is about 12823.5732929632. The cubic root of 164444032 is about 547.8639262904.

Adding to 164444032 its reverse (230444461), we get a palindrome (394888493).

The spelling of 164444032 in words is "one hundred sixty-four million, four hundred forty-four thousand, thirty-two".