164436 has 24 divisors (see below), whose sum is σ = 391104. Its totient is φ = 53760.

The previous prime is 164431. The next prime is 164443. The reversal of 164436 is 634461.

It is a super-3 number, since 3×164436³ = 13338652734341568, which contains 333 as substring.

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

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164436.

It is not an unprimeable number, because it can be changed into a prime (164431) by changing a digit.

164436 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 756 + ... + 948.

It is an arithmetic number, because the mean of its divisors is an integer number (16296).

2¹⁶⁴⁴³⁶ is an apocalyptic number.

It is an amenable number.

164436 is an abundant number, since it is smaller than the sum of its proper divisors (226668).

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

164436 is a wasteful number, since it uses less digits than its factorization.

164436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 164436 is about 405.5070899503. The cubic root of 164436 is about 54.7855006306.

Adding to 164436 its reverse (634461), we get a palindrome (798897).

The spelling of 164436 in words is "one hundred sixty-four thousand, four hundred thirty-six".