164843424 has 288 divisors, whose sum is σ = 544864320. Its totient is φ = 48771072.

The previous prime is 164843377. The next prime is 164843431. The reversal of 164843424 is 424348461.

164843424 is a `hidden beast` number, since 1 + 648 + 4 + 3 + 4 + 2 + 4 = 666.

164843424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3833547 + ... + 3833589.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2^164843424 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 164843424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272432160).

164843424 is an abundant number, since it is smaller than the sum of its proper divisors (380020896).

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

164843424 is a wasteful number, since it uses less digits than its factorization.

164843424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 164843424 is about 12839.1364195572. The cubic root of 164843424 is about 548.3071075944.

The spelling of 164843424 in words is "one hundred sixty-four million, eight hundred forty-three thousand, four hundred twenty-four".