164636472 has 288 divisors, whose sum is σ = 573123600. Its totient is φ = 39029760.

The previous prime is 164636471. The next prime is 164636531. The reversal of 164636472 is 274636461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 164636472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164636471) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1849804 + ... + 1849892.

Almost surely, 2^164636472 is an apocalyptic number.

164636472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164636472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286561800).

164636472 is an abundant number, since it is smaller than the sum of its proper divisors (408487128).

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

164636472 is a wasteful number, since it uses less digits than its factorization.

164636472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 164636472 is about 12831.0744678690. The cubic root of 164636472 is about 548.0775548680.

It can be divided in two parts, 164 and 636472, that added together give a palindrome (636636).

The spelling of 164636472 in words is "one hundred sixty-four million, six hundred thirty-six thousand, four hundred seventy-two".