10412776 has 48 divisors (see below), whose sum is σ = 22216320. Its totient is φ = 4567200.

The previous prime is 10412771. The next prime is 10412777. The reversal of 10412776 is 67721401.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10412771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29835 + ... + 30181.

It is an arithmetic number, because the mean of its divisors is an integer number (462840).

Almost surely, 2^10412776 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 10412776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11108160).

10412776 is an abundant number, since it is smaller than the sum of its proper divisors (11803544).

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

10412776 is a wasteful number, since it uses less digits than its factorization.

10412776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 10412776 is about 3226.8833260594. The cubic root of 10412776 is about 218.3679223150.

It can be divided in two parts, 104 and 12776, that added together give a triangular number (12880 = T₁₆₀).

The spelling of 10412776 in words is "ten million, four hundred twelve thousand, seven hundred seventy-six".