164665224 has 120 divisors (see below), whose sum is σ = 475591710. Its totient is φ = 53218944.

The previous prime is 164665217. The next prime is 164665253. The reversal of 164665224 is 422566461.

164665224 is a `hidden beast` number, since 1 + 646 + 6 + 5 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 136469124 + 28196100 = 11682^2 + 5310^2 .

It is a super-2 number, since 2×164665224² = 54229271989940352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2255652 + ... + 2255724.

Almost surely, 2^164665224 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 164665224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237795855).

164665224 is an abundant number, since it is smaller than the sum of its proper divisors (310926486).

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

164665224 is an equidigital number, since it uses as much as digits as its factorization.

164665224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 137 counting only the distinct ones).

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

The square root of 164665224 is about 12832.1948239574. The cubic root of 164665224 is about 548.1094583064.

The spelling of 164665224 in words is "one hundred sixty-four million, six hundred sixty-five thousand, two hundred twenty-four".