10005768 has 48 divisors (see below), whose sum is σ = 28108080. Its totient is φ = 3334608.

The previous prime is 10005731. The next prime is 10005773. The reversal of 10005768 is 86750001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630 + ... + 4517.

It is an arithmetic number, because the mean of its divisors is an integer number (585585).

Almost surely, 2^10005768 is an apocalyptic number.

10005768 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 10005768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054040).

10005768 is an abundant number, since it is smaller than the sum of its proper divisors (18102312).

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

10005768 is an equidigital number, since it uses as much as digits as its factorization.

10005768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10005768 is about 3163.1895295730. The cubic root of 10005768 is about 215.4848836392.

Adding to 10005768 its reverse (86750001), we get a palindrome (96755769).

The spelling of 10005768 in words is "ten million, five thousand, seven hundred sixty-eight".