164504564 has 36 divisors (see below), whose sum is σ = 339909696. Its totient is φ = 69444144.

The previous prime is 164504539. The next prime is 164504581. The reversal of 164504564 is 465405461.

It is a super-3 number, since 3×164504564³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6869 + ... + 19395.

It is an arithmetic number, because the mean of its divisors is an integer number (9441936).

Almost surely, 2^164504564 is an apocalyptic number.

164504564 is a gapful number since it is divisible by the number (14) 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 164504564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169954848).

164504564 is an abundant number, since it is smaller than the sum of its proper divisors (175405132).

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

164504564 is a wasteful number, since it uses less digits than its factorization.

164504564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12612 (or 12603 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 164504564 is about 12825.9332603908. The cubic root of 164504564 is about 547.9311411161.

The spelling of 164504564 in words is "one hundred sixty-four million, five hundred four thousand, five hundred sixty-four".