164484 has 24 divisors (see below), whose sum is σ = 426720. Its totient is φ = 54792.

The previous prime is 164477. The next prime is 164503. The reversal of 164484 is 484461.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3072) is a multiple of the sum of its prime factors (1536).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 654 + ... + 869.

It is an arithmetic number, because the mean of its divisors is an integer number (17780).

2¹⁶⁴⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

164484 is an abundant number, since it is smaller than the sum of its proper divisors (262236).

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

164484 is a wasteful number, since it uses less digits than its factorization.

164484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1528 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 164484 is about 405.5662707869. The cubic root of 164484 is about 54.7908308669.

It can be divided in two parts, 1644 and 84, that added together give a cube (1728 = 12³).

The spelling of 164484 in words is "one hundred sixty-four thousand, four hundred eighty-four".