10947816 has 96 divisors (see below), whose sum is σ = 33808320. Its totient is φ = 3168000.

The previous prime is 10947809. The next prime is 10947817. The reversal of 10947816 is 61874901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10947817) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17916 + ... + 18516.

It is an arithmetic number, because the mean of its divisors is an integer number (352170).

Almost surely, 2^10947816 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 10947816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16904160).

10947816 is an abundant number, since it is smaller than the sum of its proper divisors (22860504).

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

10947816 is a wasteful number, since it uses less digits than its factorization.

10947816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10947816 is about 3308.7484038530. The cubic root of 10947816 is about 222.0457660698.

The spelling of 10947816 in words is "ten million, nine hundred forty-seven thousand, eight hundred sixteen".