8227648 has 112 divisors (see below), whose sum is σ = 20482560. Its totient is φ = 3225600.

The previous prime is 8227633. The next prime is 8227649. The reversal of 8227648 is 8467228.

It is a super-2 number, since 2×8227648² = 135388383223808, which contains 22 as substring.

Its product of digits (43008) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8227649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265393 + ... + 265423.

It is an arithmetic number, because the mean of its divisors is an integer number (182880).

Almost surely, 2^8227648 is an apocalyptic number.

8227648 is a gapful number since it is divisible by the number (88) 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 8227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241280).

8227648 is an abundant number, since it is smaller than the sum of its proper divisors (12254912).

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

8227648 is a wasteful number, since it uses less digits than its factorization.

8227648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 8227648 is about 2868.3877004338. The cubic root of 8227648 is about 201.8793515406.

It can be divided in two parts, 82 and 27648, that added together give a triangular number (27730 = T₂₃₅).

The spelling of 8227648 in words is "eight million, two hundred twenty-seven thousand, six hundred forty-eight".