10117568 has 28 divisors (see below), whose sum is σ = 20269200. Its totient is φ = 5010432.

The previous prime is 10117561. The next prime is 10117577. The reversal of 10117568 is 86571101.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10117568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6533 + ... + 7931.

It is an arithmetic number, because the mean of its divisors is an integer number (723900).

Almost surely, 2^10117568 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 10117568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10134600).

10117568 is an abundant number, since it is smaller than the sum of its proper divisors (10151632).

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

10117568 is a wasteful number, since it uses less digits than its factorization.

10117568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 29.

The square root of 10117568 is about 3180.8124748246. The cubic root of 10117568 is about 216.2844902498.

Adding to 10117568 its reverse (86571101), we get a palindrome (96688669).

The spelling of 10117568 in words is "ten million, one hundred seventeen thousand, five hundred sixty-eight".