164273088 has 168 divisors, whose sum is σ = 532790400. Its totient is φ = 44416512.

The previous prime is 164273077. The next prime is 164273093. The reversal of 164273088 is 880372461.

164273088 is digitally balanced in base 3, 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 (168).

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 23 ways as a sum of consecutive naturals, for example, 178293 + ... + 179211.

Almost surely, 2^164273088 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 164273088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266395200).

164273088 is an abundant number, since it is smaller than the sum of its proper divisors (368517312).

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

164273088 is a wasteful number, since it uses less digits than its factorization.

164273088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 164273088 is about 12816.9063349936. The cubic root of 164273088 is about 547.6740207024.

The spelling of 164273088 in words is "one hundred sixty-four million, two hundred seventy-three thousand, eighty-eight".