164384 has 24 divisors (see below), whose sum is σ = 353808. Its totient is φ = 74560.

The previous prime is 164377. The next prime is 164387. The reversal of 164384 is 483461.

It is not an unprimeable number, because it can be changed into a prime (164387) by changing a digit.

164384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2¹⁶⁴³⁸⁴ 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 164384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904).

164384 is an abundant number, since it is smaller than the sum of its proper divisors (189424).

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

164384 is a wasteful number, since it uses less digits than its factorization.

164384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 164384 is about 405.4429676292. The cubic root of 164384 is about 54.7797250373.

The spelling of 164384 in words is "one hundred sixty-four thousand, three hundred eighty-four".