164647968 has 48 divisors (see below), whose sum is σ = 433986336. Its totient is φ = 54656000.

The previous prime is 164647963. The next prime is 164647979. The reversal of 164647968 is 869746461.

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 164647968.

It is not an unprimeable number, because it can be changed into a prime (164647963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20680 + ... + 27512.

It is an arithmetic number, because the mean of its divisors is an integer number (9041382).

Almost surely, 2^164647968 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 164647968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216993168).

164647968 is an abundant number, since it is smaller than the sum of its proper divisors (269338368).

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

164647968 is a wasteful number, since it uses less digits than its factorization.

164647968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7097 (or 7089 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 164647968 is about 12831.5224350036. The cubic root of 164647968 is about 548.0903113629.

The spelling of 164647968 in words is "one hundred sixty-four million, six hundred forty-seven thousand, nine hundred sixty-eight".