18528164 has 36 divisors (see below), whose sum is σ = 35352324. Its totient is φ = 8466432.

The previous prime is 18528163. The next prime is 18528197. The reversal of 18528164 is 46182581.

It can be written as a sum of positive squares in 6 ways, for example, as 2190400 + 16337764 = 1480^2 + 4042^2 .

It is a super-2 number, since 2×18528164² = 686585722421792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18528163) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 190964 + ... + 191060.

It is an arithmetic number, because the mean of its divisors is an integer number (982009).

Almost surely, 2^18528164 is an apocalyptic number.

It is an amenable number.

18528164 is a deficient number, since it is larger than the sum of its proper divisors (16824160).

18528164 is a wasteful number, since it uses less digits than its factorization.

18528164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 169 counting only the distinct ones).

The product of its digits is 15360, while the sum is 35.

The square root of 18528164 is about 4304.4353869004. The cubic root of 18528164 is about 264.6127677644.

The spelling of 18528164 in words is "eighteen million, five hundred twenty-eight thousand, one hundred sixty-four".