164424 has 64 divisors (see below), whose sum is σ = 483840. Its totient is φ = 46080.

The previous prime is 164419. The next prime is 164429. The reversal of 164424 is 424461.

It is an interprime number because it is at equal distance from previous prime (164419) and next prime (164429).

It is a super-3 number, since 3×164424³ = 13335732714051072, which contains 333 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 164424.

It is not an unprimeable number, because it can be changed into a prime (164429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5289 + ... + 5319.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2¹⁶⁴⁴²⁴ 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 164424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

164424 is an abundant number, since it is smaller than the sum of its proper divisors (319416).

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

164424 is a wasteful number, since it uses less digits than its factorization.

164424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 66 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 164424 is about 405.4922933916. The cubic root of 164424 is about 54.7841679094.

Adding to 164424 its reverse (424461), we get a palindrome (588885).

The spelling of 164424 in words is "one hundred sixty-four thousand, four hundred twenty-four".