10083568 has 80 divisors (see below), whose sum is σ = 23141376. Its totient is φ = 4209920.

The previous prime is 10083551. The next prime is 10083569. The reversal of 10083568 is 86538001.

It is a super-2 number, since 2×10083568² = 203356687221248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10083569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190230 + ... + 190282.

Almost surely, 2^10083568 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 10083568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11570688).

10083568 is an abundant number, since it is smaller than the sum of its proper divisors (13057808).

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

10083568 is a wasteful number, since it uses less digits than its factorization.

10083568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 10083568 is about 3175.4634307452. The cubic root of 10083568 is about 216.0419443007.

The spelling of 10083568 in words is "ten million, eighty-three thousand, five hundred sixty-eight".