10819712 has 32 divisors (see below), whose sum is σ = 21747420. Its totient is φ = 5361664.

The previous prime is 10819709. The next prime is 10819717. The reversal of 10819712 is 21791801.

It can be written as a sum of positive squares in 2 ways, for example, as 10086976 + 732736 = 3176^2 + 856^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (10819717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17228 + ... + 17844.

Almost surely, 2^10819712 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 10819712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10873710).

10819712 is an abundant number, since it is smaller than the sum of its proper divisors (10927708).

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

10819712 is an equidigital number, since it uses as much as digits as its factorization.

10819712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 10819712 is about 3289.3330630996. Note that the first 3 decimals coincide. The cubic root of 10819712 is about 221.1762889781.

The spelling of 10819712 in words is "ten million, eight hundred nineteen thousand, seven hundred twelve".