10822688 has 48 divisors (see below), whose sum is σ = 22321656. Its totient is φ = 5160960.

The previous prime is 10822687. The next prime is 10822699. The reversal of 10822688 is 88622801.

It can be written as a sum of positive squares in 4 ways, for example, as 3489424 + 7333264 = 1868^2 + 2708^2 .

It is not an unprimeable number, because it can be changed into a prime (10822687) 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 7 ways as a sum of consecutive naturals, for example, 95720 + ... + 95832.

Almost surely, 2^10822688 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 10822688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160828).

10822688 is an abundant number, since it is smaller than the sum of its proper divisors (11498968).

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

10822688 is a wasteful number, since it uses less digits than its factorization.

10822688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 10822688 is about 3289.7854033356. The cubic root of 10822688 is about 221.1965655590.

The spelling of 10822688 in words is "ten million, eight hundred twenty-two thousand, six hundred eighty-eight".