8201568 has 48 divisors (see below), whose sum is σ = 22120560. Its totient is φ = 2658816.

The previous prime is 8201563. The next prime is 8201573. The reversal of 8201568 is 8651028.

It is an interprime number because it is at equal distance from previous prime (8201563) and next prime (8201573).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201563) 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 7 ways as a sum of consecutive naturals, for example, 2398 + ... + 4706.

It is an arithmetic number, because the mean of its divisors is an integer number (460845).

Almost surely, 2^8201568 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 8201568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11060280).

8201568 is an abundant number, since it is smaller than the sum of its proper divisors (13918992).

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

8201568 is a wasteful number, since it uses less digits than its factorization.

8201568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 8201568 is about 2863.8379842442. The cubic root of 8201568 is about 201.6658200300.

The spelling of 8201568 in words is "eight million, two hundred one thousand, five hundred sixty-eight".