18005248 has 36 divisors (see below), whose sum is σ = 36561028. Its totient is φ = 8847360.

The previous prime is 18005233. The next prime is 18005249. The reversal of 18005248 is 84250081.

It can be written as a sum of positive squares in 2 ways, for example, as 6390784 + 11614464 = 2528^2 + 3408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18005249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15040 + ... + 16192.

Almost surely, 2^18005248 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 18005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280514).

18005248 is an abundant number, since it is smaller than the sum of its proper divisors (18555780).

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

18005248 is an equidigital number, since it uses as much as digits as its factorization.

18005248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 18005248 is about 4243.2591247766. The cubic root of 18005248 is about 262.0996066698.

The spelling of 18005248 in words is "eighteen million, five thousand, two hundred forty-eight".