164441732 has 144 divisors (see below), whose sum is σ = 393523200. Its totient is φ = 58631040.

The previous prime is 164441729. The next prime is 164441737. The reversal of 164441732 is 237144461.

It is not an unprimeable number, because it can be changed into a prime (164441737) 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 47 ways as a sum of consecutive naturals, for example, 2787119 + ... + 2787177.

It is an arithmetic number, because the mean of its divisors is an integer number (2732800).

Almost surely, 2^164441732 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 164441732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196761600).

164441732 is an abundant number, since it is smaller than the sum of its proper divisors (229081468).

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

164441732 is a wasteful number, since it uses less digits than its factorization.

164441732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 164441732 is about 12823.4836140575. The cubic root of 164441732 is about 547.8613720416.

The spelling of 164441732 in words is "one hundred sixty-four million, four hundred forty-one thousand, seven hundred thirty-two".