164420 has 12 divisors (see below), whose sum is σ = 345324. Its totient is φ = 65760.

The previous prime is 164419. The next prime is 164429. The reversal of 164420 is 24461.

It can be written as a sum of positive squares in 2 ways, for example, as 114244 + 50176 = 338^2 + 224^2 .

It is a super-3 number, since 3×164420³ = 13334759468664000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164429) 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, 4091 + ... + 4130.

It is an arithmetic number, because the mean of its divisors is an integer number (28777).

2¹⁶⁴⁴²⁰ is an apocalyptic number.

164420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164420 is an abundant number, since it is smaller than the sum of its proper divisors (180904).

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

164420 is a wasteful number, since it uses less digits than its factorization.

164420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8230 (or 8228 counting only the distinct ones).

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

The square root of 164420 is about 405.4873610854. The cubic root of 164420 is about 54.7837236546.

Adding to 164420 its reverse (24461), we get a palindrome (188881).

The spelling of 164420 in words is "one hundred sixty-four thousand, four hundred twenty".