8284040 has 32 divisors (see below), whose sum is σ = 18901080. Its totient is φ = 3267072.

The previous prime is 8284033. The next prime is 8284051. The reversal of 8284040 is 404828.

It can be written as a sum of positive squares in 4 ways, for example, as 4605316 + 3678724 = 2146^2 + 1918^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1502 + ... + 4338.

Almost surely, 2^8284040 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 8284040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9450540).

8284040 is an abundant number, since it is smaller than the sum of its proper divisors (10617040).

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

8284040 is a wasteful number, since it uses less digits than its factorization.

8284040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 8284040 is about 2878.2008269056. The cubic root of 8284040 is about 202.3395263724.

Adding to 8284040 its reverse (404828), we get a palindrome (8688868).

The spelling of 8284040 in words is "eight million, two hundred eighty-four thousand, forty".