164340768 has 48 divisors (see below), whose sum is σ = 456775200. Its totient is φ = 51557376.

The previous prime is 164340763. The next prime is 164340769. The reversal of 164340768 is 867043461.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (164340763) 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 7 ways as a sum of consecutive naturals, for example, 48718 + ... + 51981.

It is an arithmetic number, because the mean of its divisors is an integer number (9516150).

Almost surely, 2^164340768 is an apocalyptic number.

It is an amenable number.

164340768 is an abundant number, since it is smaller than the sum of its proper divisors (292434432).

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

164340768 is a wasteful number, since it uses less digits than its factorization.

164340768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100729 (or 100721 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 164340768 is about 12819.5463258260. The cubic root of 164340768 is about 547.7492237052.

The spelling of 164340768 in words is "one hundred sixty-four million, three hundred forty thousand, seven hundred sixty-eight".