164743008 has 48 divisors (see below), whose sum is σ = 434911680. Its totient is φ = 54601856.

The previous prime is 164743001. The next prime is 164743009. The reversal of 164743008 is 800347461.

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

It is a self number, because there is not a number n which added to its sum of digits gives 164743008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164743001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12391 + ... + 21977.

It is an arithmetic number, because the mean of its divisors is an integer number (9060660).

Almost surely, 2^164743008 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 164743008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217455840).

164743008 is an abundant number, since it is smaller than the sum of its proper divisors (270168672).

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

164743008 is a wasteful number, since it uses less digits than its factorization.

164743008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9779 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 164743008 is about 12835.2252804538. The cubic root of 164743008 is about 548.1957494161.

The spelling of 164743008 in words is "one hundred sixty-four million, seven hundred forty-three thousand, eight".