164422000 has 80 divisors (see below), whose sum is σ = 400420800. Its totient is φ = 65299200.

The previous prime is 164421979. The next prime is 164422003. The reversal of 164422000 is 224461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×164422000³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164422003) 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, 457821 + ... + 458179.

It is an arithmetic number, because the mean of its divisors is an integer number (5005260).

Almost surely, 2^164422000 is an apocalyptic number.

164422000 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 164422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200210400).

164422000 is an abundant number, since it is smaller than the sum of its proper divisors (235998800).

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

164422000 is a wasteful number, since it uses less digits than its factorization.

164422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 164422000 is about 12822.7142212560. The cubic root of 164422000 is about 547.8394578294.

Adding to 164422000 its reverse (224461), we get a palindrome (164646461).

The spelling of 164422000 in words is "one hundred sixty-four million, four hundred twenty-two thousand".