164224566 has 48 divisors (see below), whose sum is σ = 394559568. Its totient is φ = 48945600.

The previous prime is 164224513. The next prime is 164224579. The reversal of 164224566 is 665422461.

164224566 is a `hidden beast` number, since 1 + 642 + 2 + 4 + 5 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 164224566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5280 + ... + 18876.

It is an arithmetic number, because the mean of its divisors is an integer number (8219991).

Almost surely, 2^164224566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164224566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197279784).

164224566 is an abundant number, since it is smaller than the sum of its proper divisors (230335002).

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

164224566 is a wasteful number, since it uses less digits than its factorization.

164224566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13677 (or 13674 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 164224566 is about 12815.0133047141. The cubic root of 164224566 is about 547.6200925027.

The spelling of 164224566 in words is "one hundred sixty-four million, two hundred twenty-four thousand, five hundred sixty-six".