10041768 has 96 divisors (see below), whose sum is σ = 30700800. Its totient is φ = 2937600.

The previous prime is 10041767. The next prime is 10041817. The reversal of 10041768 is 86714001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10041767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24348 + ... + 24756.

It is an arithmetic number, because the mean of its divisors is an integer number (319800).

Almost surely, 2^10041768 is an apocalyptic number.

10041768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350400).

10041768 is an abundant number, since it is smaller than the sum of its proper divisors (20659032).

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

10041768 is a wasteful number, since it uses less digits than its factorization.

10041768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10041768 is about 3168.8748791961. The cubic root of 10041768 is about 215.7430071130.

Adding to 10041768 its reverse (86714001), we get a palindrome (96755769).

It can be divided in two parts, 1004 and 1768, that added together give a palindrome (2772).

The spelling of 10041768 in words is "ten million, forty-one thousand, seven hundred sixty-eight".