10006776 has 48 divisors (see below), whose sum is σ = 29189160. Its totient is φ = 3078720.

The previous prime is 10006757. The next prime is 10006781. The reversal of 10006776 is 67760001.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4410 + ... + 6281.

Almost surely, 2^10006776 is an apocalyptic number.

It is an amenable number.

10006776 is an abundant number, since it is smaller than the sum of its proper divisors (19182384).

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

10006776 is a wasteful number, since it uses less digits than its factorization.

10006776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10716 (or 10709 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 10006776 is about 3163.3488584094. The cubic root of 10006776 is about 215.4921195145.

Adding to 10006776 its reverse (67760001), we get a palindrome (77766777).

It can be divided in two parts, 1000 and 6776, that added together give a 5-th power (7776 = 6⁵).

The spelling of 10006776 in words is "ten million, six thousand, seven hundred seventy-six".