10882566 has 32 divisors (see below), whose sum is σ = 24499200. Its totient is φ = 3580200.

The previous prime is 10882561. The next prime is 10882577. The reversal of 10882566 is 66528801.

It is a happy number.

10882566 is a `hidden beast` number, since 10 + 8 + 82 + 566 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10882566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10882561) 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, 2991 + ... + 5541.

It is an arithmetic number, because the mean of its divisors is an integer number (765600).

Almost surely, 2^10882566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10882566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249600).

10882566 is an abundant number, since it is smaller than the sum of its proper divisors (13616634).

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

10882566 is a wasteful number, since it uses less digits than its factorization.

10882566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 10882566 is about 3298.8734440715. The cubic root of 10882566 is about 221.6037489537.

The spelling of 10882566 in words is "ten million, eight hundred eighty-two thousand, five hundred sixty-six".