164484864 has 144 divisors (see below), whose sum is σ = 496692000. Its totient is φ = 53673984.

The previous prime is 164484851. The next prime is 164484889. The reversal of 164484864 is 468484461.

164484864 is a `hidden beast` number, since 164 + 4 + 8 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 15 ways as a sum of consecutive naturals, for example, 366112 + ... + 366560.

It is an arithmetic number, because the mean of its divisors is an integer number (3449250).

Almost surely, 2^164484864 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 164484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248346000).

164484864 is an abundant number, since it is smaller than the sum of its proper divisors (332207136).

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

164484864 is an equidigital number, since it uses as much as digits as its factorization.

164484864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 507 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 164484864 is about 12825.1652620931. The cubic root of 164484864 is about 547.9092680160.

It can be divided in two parts, 16448 and 4864, that added together give a palindrome (21312).

The spelling of 164484864 in words is "one hundred sixty-four million, four hundred eighty-four thousand, eight hundred sixty-four".