10882944 has 128 divisors (see below), whose sum is σ = 33292800. Its totient is φ = 3497472.

The previous prime is 10882943. The next prime is 10882957. The reversal of 10882944 is 44928801.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 10882899 and 10882908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10882943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162399 + ... + 162465.

It is an arithmetic number, because the mean of its divisors is an integer number (260100).

Almost surely, 2^10882944 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 10882944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16646400).

10882944 is an abundant number, since it is smaller than the sum of its proper divisors (22409856).

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

10882944 is an equidigital number, since it uses as much as digits as its factorization.

10882944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 10882944 is about 3298.9307358597. The cubic root of 10882944 is about 221.6063146858.

The spelling of 10882944 in words is "ten million, eight hundred eighty-two thousand, nine hundred forty-four".