10221568 has 96 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 4055040.

The previous prime is 10221557. The next prime is 10221571. The reversal of 10221568 is 86512201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329713 + ... + 329743.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^10221568 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 10221568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

10221568 is an abundant number, since it is smaller than the sum of its proper divisors (14938112).

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

10221568 is an equidigital number, since it uses as much as digits as its factorization.

10221568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 10221568 is about 3197.1187028323. The cubic root of 10221568 is about 217.0230390285.

Adding to 10221568 its reverse (86512201), we get a palindrome (96733769).

It can be divided in two parts, 10221 and 568, that multiplied together give a triangular number (5805528 = T₃₄₀₇).

The spelling of 10221568 in words is "ten million, two hundred twenty-one thousand, five hundred sixty-eight".