164320 has 48 divisors (see below), whose sum is σ = 423360. Its totient is φ = 59904.

The previous prime is 164309. The next prime is 164321. The reversal of 164320 is 23461.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 164294 and 164303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164321) 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, 2041 + ... + 2119.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2¹⁶⁴³²⁰ is an apocalyptic number.

164320 is a gapful number since it is divisible by the number (10) 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 164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

164320 is an abundant number, since it is smaller than the sum of its proper divisors (259040).

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

164320 is a wasteful number, since it uses less digits than its factorization.

164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 164320 is about 405.3640339251. The cubic root of 164320 is about 54.7726149424.

Adding to 164320 its reverse (23461), we get a palindrome (187781).

It can be divided in two parts, 164 and 320, that added together give a palindrome (484).

The spelling of 164320 in words is "one hundred sixty-four thousand, three hundred twenty".