10563168 has 96 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 2741760.

The previous prime is 10563151. The next prime is 10563181. The reversal of 10563168 is 86136501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10563168² = 223161036392448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

10563168 is a modest number, since divided by 3168 gives 1056 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6678 + ... + 8106.

It is an arithmetic number, because the mean of its divisors is an integer number (360360).

Almost surely, 2^10563168 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 10563168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

10563168 is an abundant number, since it is smaller than the sum of its proper divisors (24031392).

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

10563168 is a wasteful number, since it uses less digits than its factorization.

10563168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 10563168 is about 3250.1027676060. The cubic root of 10563168 is about 219.4141991300.

Adding to 10563168 its reverse (86136501), we get a palindrome (96699669).

It can be divided in two parts, 10563 and 168, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 10563168 in words is "ten million, five hundred sixty-three thousand, one hundred sixty-eight".