164385984 has 168 divisors, whose sum is σ = 513911088. Its totient is φ = 46233600.

The previous prime is 164385983. The next prime is 164386009. The reversal of 164385984 is 489583461.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (164385983) 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 23 ways as a sum of consecutive naturals, for example, 950122 + ... + 950294.

Almost surely, 2^164385984 is an apocalyptic number.

164385984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256955544).

164385984 is an abundant number, since it is smaller than the sum of its proper divisors (349525104).

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

164385984 is a wasteful number, since it uses less digits than its factorization.

164385984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 164385984 is about 12821.3097614869. The cubic root of 164385984 is about 547.7994542071.

It can be divided in two parts, 16438 and 5984, that added together give a palindrome (22422).

The spelling of 164385984 in words is "one hundred sixty-four million, three hundred eighty-five thousand, nine hundred eighty-four".