164346864 has 80 divisors (see below), whose sum is σ = 467648640. Its totient is φ = 49319680.

The previous prime is 164346839. The next prime is 164346883. The reversal of 164346864 is 468643461.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55042 + ... + 57950.

It is an arithmetic number, because the mean of its divisors is an integer number (5845608).

Almost surely, 2^164346864 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 164346864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233824320).

164346864 is an abundant number, since it is smaller than the sum of its proper divisors (303301776).

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

164346864 is a wasteful number, since it uses less digits than its factorization.

164346864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3032 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 164346864 is about 12819.7840855453. The cubic root of 164346864 is about 547.7559962953.

The spelling of 164346864 in words is "one hundred sixty-four million, three hundred forty-six thousand, eight hundred sixty-four".