8045824 has 36 divisors (see below), whose sum is σ = 16390836. Its totient is φ = 3940352.

The previous prime is 8045819. The next prime is 8045827. The reversal of 8045824 is 4285408.

It can be written as a sum of positive squares in 2 ways, for example, as 5382400 + 2663424 = 2320^2 + 1632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8045827) 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, 13272 + ... + 13864.

It is an arithmetic number, because the mean of its divisors is an integer number (455301).

Almost surely, 2^8045824 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 8045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195418).

8045824 is an abundant number, since it is smaller than the sum of its proper divisors (8345012).

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

8045824 is an equidigital number, since it uses as much as digits as its factorization.

8045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 8045824 is about 2836.5161730545. The cubic root of 8045824 is about 200.3811398673.

The spelling of 8045824 in words is "eight million, forty-five thousand, eight hundred twenty-four".