164128224 has 96 divisors (see below), whose sum is σ = 466542720. Its totient is φ = 50222592.

The previous prime is 164128177. The next prime is 164128241. The reversal of 164128224 is 422821461.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 164128191 and 164128200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432867 + ... + 433245.

It is an arithmetic number, because the mean of its divisors is an integer number (4859820).

Almost surely, 2^164128224 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 164128224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233271360).

164128224 is an abundant number, since it is smaller than the sum of its proper divisors (302414496).

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

164128224 is a wasteful number, since it uses less digits than its factorization.

164128224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 744 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 164128224 is about 12811.2538028095. The cubic root of 164128224 is about 547.5129848258.

Adding to 164128224 its reverse (422821461), we get a palindrome (586949685).

The spelling of 164128224 in words is "one hundred sixty-four million, one hundred twenty-eight thousand, two hundred twenty-four".