8530000164 has 135 divisors (see below), whose sum is σ = 25975212417. Its totient is φ = 2433818016.

The previous prime is 8530000093. The next prime is 8530000181. The reversal of 8530000164 is 4610000358.

The square root of 8530000164 is 92358.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8344822500 + 185177664 = 91350^2 + 13608^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11636742 + ... + 11637474.

Almost surely, 2^8530000164 is an apocalyptic number.

8530000164 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

8530000164 is the 92358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8530000164

8530000164 is an abundant number, since it is smaller than the sum of its proper divisors (17445212253).

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

8530000164 is an equidigital number, since it uses as much as digits as its factorization.

8530000164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 8530000164 is about 2043.2257184933.

The spelling of 8530000164 in words is "eight billion, five hundred thirty million, one hundred sixty-four", and thus it is an aban number.