164568768 has 112 divisors (see below), whose sum is σ = 535960320. Its totient is φ = 43398144.

The previous prime is 164568751. The next prime is 164568769. The reversal of 164568768 is 867865461.

164568768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 164568768.

It is not an unprimeable number, because it can be changed into a prime (164568769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12763 + ... + 22181.

It is an arithmetic number, because the mean of its divisors is an integer number (4785360).

Almost surely, 2^164568768 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 164568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267980160).

164568768 is an abundant number, since it is smaller than the sum of its proper divisors (371391552).

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

164568768 is a wasteful number, since it uses less digits than its factorization.

164568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9454 (or 9444 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 164568768 is about 12828.4359140154. The cubic root of 164568768 is about 548.0024153196.

The spelling of 164568768 in words is "one hundred sixty-four million, five hundred sixty-eight thousand, seven hundred sixty-eight".