164016768 has 64 divisors (see below), whose sum is σ = 443944800. Its totient is φ = 53634048.

The previous prime is 164016757. The next prime is 164016781. The reversal of 164016768 is 867610461.

It is a happy number.

164016768 is digitally balanced in base 3, 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 (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16323 + ... + 24381.

Almost surely, 2^164016768 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 164016768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221972400).

164016768 is an abundant number, since it is smaller than the sum of its proper divisors (279928032).

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

164016768 is an equidigital number, since it uses as much as digits as its factorization.

164016768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8129 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 164016768 is about 12806.9031385421. The cubic root of 164016768 is about 547.3890219382.

The spelling of 164016768 in words is "one hundred sixty-four million, sixteen thousand, seven hundred sixty-eight".