164844000 has 288 divisors, whose sum is σ = 618377760. Its totient is φ = 41472000.

The previous prime is 164843989. The next prime is 164844011. The reversal of 164844000 is 448461.

It is an interprime number because it is at equal distance from previous prime (164843989) and next prime (164844011).

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 683880 + ... + 684120.

It is an arithmetic number, because the mean of its divisors is an integer number (2147145).

Almost surely, 2^164844000 is an apocalyptic number.

164844000 is a gapful number since it is divisible by the number (10) 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 164844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309188880).

164844000 is an abundant number, since it is smaller than the sum of its proper divisors (453533760).

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

164844000 is a wasteful number, since it uses less digits than its factorization.

164844000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 270 counting only the distinct ones).

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

The square root of 164844000 is about 12839.1588509528. The cubic root of 164844000 is about 548.3077462297.

The spelling of 164844000 in words is "one hundred sixty-four million, eight hundred forty-four thousand".