164638368 has 72 divisors (see below), whose sum is σ = 478191168. Its totient is φ = 53707392.

The previous prime is 164638367. The next prime is 164638373. The reversal of 164638368 is 863836461.

164638368 is a `hidden beast` number, since 1 + 6 + 4 + 638 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (164638361) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7455 + ... + 19617.

It is an arithmetic number, because the mean of its divisors is an integer number (6641544).

Almost surely, 2^164638368 is an apocalyptic number.

164638368 is a gapful number since it is divisible by the number (18) 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 164638368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239095584).

164638368 is an abundant number, since it is smaller than the sum of its proper divisors (313552800).

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

164638368 is a wasteful number, since it uses less digits than its factorization.

164638368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12226 (or 12215 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 164638368 is about 12831.1483507907. The cubic root of 164638368 is about 548.0796587985.

The spelling of 164638368 in words is "one hundred sixty-four million, six hundred thirty-eight thousand, three hundred sixty-eight".