164664544 has 108 divisors (see below), whose sum is σ = 380674728. Its totient is φ = 69928320.

The previous prime is 164664527. The next prime is 164664553. The reversal of 164664544 is 445466461.

It is a super-2 number, since 2×164664544² = 54228824101455872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164664497 and 164664506.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 3829387 + ... + 3829429.

It is an arithmetic number, because the mean of its divisors is an integer number (3524766).

Almost surely, 2^164664544 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 164664544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190337364).

164664544 is an abundant number, since it is smaller than the sum of its proper divisors (216010184).

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

164664544 is a wasteful number, since it uses less digits than its factorization.

164664544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 79 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The square root of 164664544 is about 12832.1683280730. The cubic root of 164664544 is about 548.1087038161.

The spelling of 164664544 in words is "one hundred sixty-four million, six hundred sixty-four thousand, five hundred forty-four".