164448 has 36 divisors (see below), whose sum is σ = 468468. Its totient is φ = 54720.

The previous prime is 164447. The next prime is 164449. The reversal of 164448 is 844461.

It is an interprime number because it is at equal distance from previous prime (164447) and next prime (164449).

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164443) 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 5 ways as a sum of consecutive naturals, for example, 3 + ... + 573.

It is an arithmetic number, because the mean of its divisors is an integer number (13013).

2¹⁶⁴⁴⁴⁸ is an apocalyptic number.

164448 is a gapful number since it is divisible by the number (18) 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 164448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234234).

164448 is an abundant number, since it is smaller than the sum of its proper divisors (304020).

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

164448 is a wasteful number, since it uses less digits than its factorization.

164448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 576 counting only the distinct ones).

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

The square root of 164448 is about 405.5218859692. The cubic root of 164448 is about 54.7868332869.

The spelling of 164448 in words is "one hundred sixty-four thousand, four hundred forty-eight".