8205288 has 144 divisors (see below), whose sum is σ = 26966880. Its totient is φ = 2036736.

The previous prime is 8205287. The next prime is 8205311. The reversal of 8205288 is 8825028.

It is not an unprimeable number, because it can be changed into a prime (8205287) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 482656 + ... + 482672.

It is an arithmetic number, because the mean of its divisors is an integer number (187270).

Almost surely, 2^8205288 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 8205288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13483440).

8205288 is an abundant number, since it is smaller than the sum of its proper divisors (18761592).

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

8205288 is a wasteful number, since it uses less digits than its factorization.

8205288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 8205288 is about 2864.4873886963. The cubic root of 8205288 is about 201.6963053980.

The spelling of 8205288 in words is "eight million, two hundred five thousand, two hundred eighty-eight".