164446224 has 80 divisors (see below), whose sum is σ = 437364864. Its totient is φ = 53222400.

The previous prime is 164446223. The next prime is 164446231. The reversal of 164446224 is 422644461.

164446224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (164446223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248454 + ... + 249114.

Almost surely, 2^164446224 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 164446224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218682432).

164446224 is an abundant number, since it is smaller than the sum of its proper divisors (272918640).

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

164446224 is a wasteful number, since it uses less digits than its factorization.

164446224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 164446224 is about 12823.6587602759. The cubic root of 164446224 is about 547.8663605784.

The spelling of 164446224 in words is "one hundred sixty-four million, four hundred forty-six thousand, two hundred twenty-four".