163164288 has 128 divisors (see below), whose sum is σ = 501056640. Its totient is φ = 46080000.

The previous prime is 163164259. The next prime is 163164289. The reversal of 163164288 is 882461361.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (163164289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271188 + ... + 271788.

It is an arithmetic number, because the mean of its divisors is an integer number (3914505).

Almost surely, 2^163164288 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 163164288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250528320).

163164288 is an abundant number, since it is smaller than the sum of its proper divisors (337892352).

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

163164288 is a wasteful number, since it uses less digits than its factorization.

163164288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 714 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 163164288 is about 12773.5777290468. The cubic root of 163164288 is about 546.4390194984.

It can be divided in two parts, 163 and 164288, that added together give a triangular number (164451 = T₅₇₃).

The spelling of 163164288 in words is "one hundred sixty-three million, one hundred sixty-four thousand, two hundred eighty-eight".