164340 has 72 divisors (see below), whose sum is σ = 550368. Its totient is φ = 39360.

The previous prime is 164321. The next prime is 164341. The reversal of 164340 is 43461.

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 (164341) by changing a digit.

164340 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 23 ways as a sum of consecutive naturals, for example, 1939 + ... + 2021.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2¹⁶⁴³⁴⁰ is an apocalyptic number.

164340 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 164340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184).

164340 is an abundant number, since it is smaller than the sum of its proper divisors (386028).

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

164340 is a wasteful number, since it uses less digits than its factorization.

164340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 104 counting only the distinct ones).

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

The square root of 164340 is about 405.3887023586. The cubic root of 164340 is about 54.7748370454.

It can be divided in two parts, 16 and 4340, that added together give a square (4356 = 66²).

The spelling of 164340 in words is "one hundred sixty-four thousand, three hundred forty".