164435436 has 72 divisors (see below), whose sum is σ = 454852944. Its totient is φ = 49674240.

The previous prime is 164435429. The next prime is 164435477. The reversal of 164435436 is 634534461.

164435436 is a `hidden beast` number, since 1 + 644 + 3 + 5 + 4 + 3 + 6 = 666.

It is a super-3 number, since 3×164435436³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 164435436.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243996 + ... + 244668.

It is an arithmetic number, because the mean of its divisors is an integer number (6317402).

Almost surely, 2^164435436 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 164435436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227426472).

164435436 is an abundant number, since it is smaller than the sum of its proper divisors (290417508).

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

164435436 is a wasteful number, since it uses less digits than its factorization.

164435436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1306 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 164435436 is about 12823.2381245924. The cubic root of 164435436 is about 547.8543799414.

Adding to 164435436 its reverse (634534461), we get a palindrome (798969897).

It can be divided in two parts, 164 and 435436, that added together give a square (435600 = 660²).

The spelling of 164435436 in words is "one hundred sixty-four million, four hundred thirty-five thousand, four hundred thirty-six".