164520576 has 96 divisors (see below), whose sum is σ = 516503520. Its totient is φ = 49850880.

The previous prime is 164520569. The next prime is 164520589. The reversal of 164520576 is 675025461.

It is a happy number.

164520576 is a `hidden beast` number, since 1 + 64 + 5 + 20 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 164520576.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6181 + ... + 19163.

It is an arithmetic number, because the mean of its divisors is an integer number (5380245).

Almost surely, 2^164520576 is an apocalyptic number.

164520576 is a gapful number since it is divisible by the number (16) 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 164520576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258251760).

164520576 is an abundant number, since it is smaller than the sum of its proper divisors (351982944).

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

164520576 is a wasteful number, since it uses less digits than its factorization.

164520576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13014 (or 12999 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 164520576 is about 12826.5574492925. The cubic root of 164520576 is about 547.9489181078.

The spelling of 164520576 in words is "one hundred sixty-four million, five hundred twenty thousand, five hundred seventy-six".