10851168 has 96 divisors (see below), whose sum is σ = 30935520. Its totient is φ = 3317760.

The previous prime is 10851163. The next prime is 10851233. The reversal of 10851168 is 86115801.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10851161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99498 + ... + 99606.

It is an arithmetic number, because the mean of its divisors is an integer number (322245).

Almost surely, 2^10851168 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 10851168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760).

10851168 is an abundant number, since it is smaller than the sum of its proper divisors (20084352).

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

10851168 is a wasteful number, since it uses less digits than its factorization.

10851168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 10851168 is about 3294.1111092372. Note that the first 4 decimals coincide. The cubic root of 10851168 is about 221.3904225246.

Adding to 10851168 its reverse (86115801), we get a palindrome (96966969).

The spelling of 10851168 in words is "ten million, eight hundred fifty-one thousand, one hundred sixty-eight".