164147648 has 84 divisors (see below), whose sum is σ = 401330160. Its totient is φ = 66189312.

The previous prime is 164147647. The next prime is 164147657. The reversal of 164147648 is 846741461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164147647) 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 11 ways as a sum of consecutive naturals, for example, 51773 + ... + 54851.

It is an arithmetic number, because the mean of its divisors is an integer number (4777740).

Almost surely, 2^164147648 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 164147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200665080).

164147648 is an abundant number, since it is smaller than the sum of its proper divisors (237182512).

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

164147648 is a wasteful number, since it uses less digits than its factorization.

164147648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3105 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 164147648 is about 12812.0118638721. The cubic root of 164147648 is about 547.5345827213.

The spelling of 164147648 in words is "one hundred sixty-four million, one hundred forty-seven thousand, six hundred forty-eight".