8046144 has 84 divisors (see below), whose sum is σ = 23543260. Its totient is φ = 2626560.

The previous prime is 8046121. The next prime is 8046161. The reversal of 8046144 is 4416408.

It can be written as a sum of positive squares in 2 ways, for example, as 3686400 + 4359744 = 1920^2 + 2088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35022 + ... + 35250.

Almost surely, 2^8046144 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 8046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11771630).

8046144 is an abundant number, since it is smaller than the sum of its proper divisors (15497116).

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

8046144 is a wasteful number, since it uses less digits than its factorization.

8046144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8046144 is about 2836.5725797166. The cubic root of 8046144 is about 200.3837963640.

The spelling of 8046144 in words is "eight million, forty-six thousand, one hundred forty-four".