8221560 has 64 divisors (see below), whose sum is σ = 24900480. Its totient is φ = 2171520.

The previous prime is 8221537. The next prime is 8221561. The reversal of 8221560 is 651228.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8221560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8221561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15459 + ... + 15981.

It is an arithmetic number, because the mean of its divisors is an integer number (389070).

Almost surely, 2^8221560 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 8221560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12450240).

8221560 is an abundant number, since it is smaller than the sum of its proper divisors (16678920).

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

8221560 is a wasteful number, since it uses less digits than its factorization.

8221560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 8221560 is about 2867.3262807012. The cubic root of 8221560 is about 201.8295461058.

Adding to 8221560 its reverse (651228), we get a palindrome (8872788).

The spelling of 8221560 in words is "eight million, two hundred twenty-one thousand, five hundred sixty".