8208144 has 120 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 2202624.

The previous prime is 8208143. The next prime is 8208157. The reversal of 8208144 is 4418028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8208143) 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 23 ways as a sum of consecutive naturals, for example, 16897 + ... + 17375.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 2^8208144 is an apocalyptic number.

8208144 is a gapful number since it is divisible by the number (84) 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 8208144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

8208144 is an abundant number, since it is smaller than the sum of its proper divisors (19647216).

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

8208144 is a wasteful number, since it uses less digits than its factorization.

8208144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8208144 is about 2864.9858638395. The cubic root of 8208144 is about 201.7197040415.

The spelling of 8208144 in words is "eight million, two hundred eight thousand, one hundred forty-four".