164304 has 60 divisors (see below), whose sum is σ = 528736. Its totient is φ = 46656.

The previous prime is 164299. The next prime is 164309. The reversal of 164304 is 403461.

It is an interprime number because it is at equal distance from previous prime (164299) and next prime (164309).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164309) by changing a digit.

164304 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 11 ways as a sum of consecutive naturals, for example, 927 + ... + 1089.

2¹⁶⁴³⁰⁴ is an apocalyptic number.

164304 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 164304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264368).

164304 is an abundant number, since it is smaller than the sum of its proper divisors (364432).

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

164304 is a wasteful number, since it uses less digits than its factorization.

164304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 164304 is about 405.3442980973. The cubic root of 164304 is about 54.7708371303.

Adding to 164304 its reverse (403461), we get a palindrome (567765).

The spelling of 164304 in words is "one hundred sixty-four thousand, three hundred four".