164660224 has 33 divisors (see below), whose sum is σ = 329982541. Its totient is φ = 82124800.

The previous prime is 164660219. The next prime is 164660227. The reversal of 164660224 is 422066461.

The square root of 164660224 is 12832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 163021824 + 1638400 = 12768^2 + 1280^2 .

It is a super-2 number, since 2×164660224² = 54225978735460352, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164660227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 410424 + ... + 410824.

Almost surely, 2^164660224 is an apocalyptic number.

164660224 is the 12832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164660224

164660224 is an abundant number, since it is smaller than the sum of its proper divisors (165322317).

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

164660224 is an frugal number, since it uses more digits than its factorization.

164660224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The cubic root of 164660224 is about 548.1039105351.

The spelling of 164660224 in words is "one hundred sixty-four million, six hundred sixty thousand, two hundred twenty-four".