164014224 has 80 divisors (see below), whose sum is σ = 471023424. Its totient is φ = 48755200.

The previous prime is 164014199. The next prime is 164014231. The reversal of 164014224 is 422410461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 164014194 and 164014203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25054 + ... + 30914.

Almost surely, 2^164014224 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 164014224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235511712).

164014224 is an abundant number, since it is smaller than the sum of its proper divisors (307009200).

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

164014224 is a wasteful number, since it uses less digits than its factorization.

164014224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 164014224 is about 12806.8038167218. The cubic root of 164014224 is about 547.3861918112.

Adding to 164014224 its reverse (422410461), we get a palindrome (586424685).

The spelling of 164014224 in words is "one hundred sixty-four million, fourteen thousand, two hundred twenty-four".