164240 has 20 divisors (see below), whose sum is σ = 382044. Its totient is φ = 65664.

The previous prime is 164239. The next prime is 164249. The reversal of 164240 is 42461.

It can be written as a sum of positive squares in 2 ways, for example, as 71824 + 92416 = 268^2 + 304^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (164249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 947 + ... + 1106.

2¹⁶⁴²⁴⁰ is an apocalyptic number.

164240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164240 is an abundant number, since it is smaller than the sum of its proper divisors (217804).

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

164240 is a wasteful number, since it uses less digits than its factorization.

164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 164240 is about 405.2653451752. The cubic root of 164240 is about 54.7637247272.

It can be divided in two parts, 164 and 240, that added together give a palindrome (404).

The spelling of 164240 in words is "one hundred sixty-four thousand, two hundred forty".