10884224 has 64 divisors (see below), whose sum is σ = 24218880. Its totient is φ = 4838400.

The previous prime is 10884197. The next prime is 10884241. The reversal of 10884224 is 42248801.

10884224 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 51479 + ... + 51689.

It is an arithmetic number, because the mean of its divisors is an integer number (378420).

Almost surely, 2^10884224 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 10884224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12109440).

10884224 is an abundant number, since it is smaller than the sum of its proper divisors (13334656).

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

10884224 is a wasteful number, since it uses less digits than its factorization.

With its successor (10884225) it forms an eRAP, since the sums of their prime factors are consecutive (269 and 270).

10884224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 10884224 is about 3299.1247324101. The cubic root of 10884224 is about 221.6150024380.

The spelling of 10884224 in words is "ten million, eight hundred eighty-four thousand, two hundred twenty-four".