10005776 has 40 divisors (see below), whose sum is σ = 21352800. Its totient is φ = 4504320.

The previous prime is 10005773. The next prime is 10005791. The reversal of 10005776 is 67750001.

It is not an unprimeable number, because it can be changed into a prime (10005773) 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, 24260 + ... + 24668.

It is an arithmetic number, because the mean of its divisors is an integer number (533820).

Almost surely, 2^10005776 is an apocalyptic number.

10005776 is a gapful number since it is divisible by the number (16) 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 10005776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10676400).

10005776 is an abundant number, since it is smaller than the sum of its proper divisors (11347024).

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

10005776 is a wasteful number, since it uses less digits than its factorization.

10005776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 10005776 is about 3163.1907941191. The cubic root of 10005776 is about 215.4849410687.

Adding to 10005776 its reverse (67750001), we get a palindrome (77755777).

It can be divided in two parts, 1000 and 5776, that added together give a palindrome (6776).

The spelling of 10005776 in words is "ten million, five thousand, seven hundred seventy-six".