8538144 has 96 divisors (see below), whose sum is σ = 24514560. Its totient is φ = 2592000.

The previous prime is 8538143. The next prime is 8538149. The reversal of 8538144 is 4418358.

8538144 = 970² + 971² + ... + 978².

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8538143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56469 + ... + 56619.

It is an arithmetic number, because the mean of its divisors is an integer number (255360).

Almost surely, 2^8538144 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 8538144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257280).

8538144 is an abundant number, since it is smaller than the sum of its proper divisors (15976416).

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

8538144 is a wasteful number, since it uses less digits than its factorization.

8538144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 8538144 is about 2922.0102669224. The cubic root of 8538144 is about 204.3875753749.

The spelling of 8538144 in words is "eight million, five hundred thirty-eight thousand, one hundred forty-four".