10681168 has 40 divisors (see below), whose sum is σ = 22177152. Its totient is φ = 4965888.

The previous prime is 10681163. The next prime is 10681171. The reversal of 10681168 is 86118601.

It is a happy number.

10681168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10681168² = 228174699688448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28921 + ... + 29287.

Almost surely, 2^10681168 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 10681168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11088576).

10681168 is an abundant number, since it is smaller than the sum of its proper divisors (11495984).

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

10681168 is a wasteful number, since it uses less digits than its factorization.

10681168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 10681168 is about 3268.2056238860. The cubic root of 10681168 is about 220.2281929792.

Adding to 10681168 its reverse (86118601), we get a palindrome (96799769).

The spelling of 10681168 in words is "ten million, six hundred eighty-one thousand, one hundred sixty-eight".