164843328 has 112 divisors (see below), whose sum is σ = 473431616. Its totient is φ = 50319360.

The previous prime is 164843321. The next prime is 164843347. The reversal of 164843328 is 823348461.

It is a happy number.

It is a super-2 number, since 2×164843328² = 54346645572231168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 (164843321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526500 + ... + 526812.

It is an arithmetic number, because the mean of its divisors is an integer number (4227068).

Almost surely, 2^164843328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164843328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236715808).

164843328 is an abundant number, since it is smaller than the sum of its proper divisors (308588288).

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

164843328 is a wasteful number, since it uses less digits than its factorization.

164843328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 542 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 164843328 is about 12839.1326809875. The cubic root of 164843328 is about 548.3070011550.

It can be divided in two parts, 1648433 and 28, that added together give a palindrome (1648461).

The spelling of 164843328 in words is "one hundred sixty-four million, eight hundred forty-three thousand, three hundred twenty-eight".