164288 has 28 divisors (see below), whose sum is σ = 347472. Its totient is φ = 76800.

The previous prime is 164279. The next prime is 164291. The reversal of 164288 is 882461.

It is a self number, because there is not a number n which added to its sum of digits gives 164288.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1013 + ... + 1163.

2¹⁶⁴²⁸⁸ 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 164288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173736).

164288 is an abundant number, since it is smaller than the sum of its proper divisors (183184).

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

164288 is a wasteful number, since it uses less digits than its factorization.

164288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 164288 is about 405.3245613086. The cubic root of 164288 is about 54.7690592027.

The spelling of 164288 in words is "one hundred sixty-four thousand, two hundred eighty-eight".