164481872 has 40 divisors (see below), whose sum is σ = 330429000. Its totient is φ = 79252992.

The previous prime is 164481869. The next prime is 164481887. The reversal of 164481872 is 278184461.

164481872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 112699456 + 51782416 = 10616^2 + 7196^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63254 + ... + 65802.

It is an arithmetic number, because the mean of its divisors is an integer number (8260725).

Almost surely, 2^164481872 is an apocalyptic number.

It is an amenable number.

164481872 is an abundant number, since it is smaller than the sum of its proper divisors (165947128).

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

164481872 is a wasteful number, since it uses less digits than its factorization.

With its successor (164481873) it forms an eRAP, since the sums of their prime factors are consecutive (2703 and 2704).

164481872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2697 counting only the distinct ones).

The product of its digits is 86016, while the sum is 41.

The square root of 164481872 is about 12825.0486158923. The cubic root of 164481872 is about 547.9059458168.

The spelling of 164481872 in words is "one hundred sixty-four million, four hundred eighty-one thousand, eight hundred seventy-two".