164436224 has 36 divisors (see below), whose sum is σ = 333163824. Its totient is φ = 80982528.

The previous prime is 164436211. The next prime is 164436227. The reversal of 164436224 is 422634461.

It is a super-3 number, since 3×164436224³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (164436227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12359 + ... + 21945.

Almost surely, 2^164436224 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 164436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166581912).

164436224 is an abundant number, since it is smaller than the sum of its proper divisors (168727600).

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

164436224 is an frugal number, since it uses more digits than its factorization.

164436224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9670 (or 9656 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 164436224 is about 12823.2688500242. The cubic root of 164436224 is about 547.8552550742.

The spelling of 164436224 in words is "one hundred sixty-four million, four hundred thirty-six thousand, two hundred twenty-four".