164220000 has 480 divisors, whose sum is σ = 680182272. Its totient is φ = 33792000.

The previous prime is 164219999. The next prime is 164220019. The reversal of 164220000 is 22461.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7139989 + ... + 7140011.

Almost surely, 2^164220000 is an apocalyptic number.

164220000 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 164220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340091136).

164220000 is an abundant number, since it is smaller than the sum of its proper divisors (515962272).

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

164220000 is a wasteful number, since it uses less digits than its factorization.

164220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 164220000 is about 12814.8351530560. The cubic root of 164220000 is about 547.6150172236.

Adding to 164220000 its reverse (22461), we get a palindrome (164242461).

The spelling of 164220000 in words is "one hundred sixty-four million, two hundred twenty thousand".