8228160 has 84 divisors (see below), whose sum is σ = 28311348. Its totient is φ = 2193408.

The previous prime is 8228147. The next prime is 8228161. The reversal of 8228160 is 618228.

It can be written as a sum of positive squares in 2 ways, for example, as 4260096 + 3968064 = 2064^2 + 1992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8228161) 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 11 ways as a sum of consecutive naturals, for example, 1452 + ... + 4308.

Almost surely, 2^8228160 is an apocalyptic number.

8228160 is a gapful number since it is divisible by the number (80) 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 8228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155674).

8228160 is an abundant number, since it is smaller than the sum of its proper divisors (20083188).

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

8228160 is a wasteful number, since it uses less digits than its factorization.

8228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8228160 is about 2868.4769477895. The cubic root of 8228160 is about 201.8835390510.

The spelling of 8228160 in words is "eight million, two hundred twenty-eight thousand, one hundred sixty".