10822656 has 88 divisors (see below), whose sum is σ = 31179904. Its totient is φ = 3317760.

The previous prime is 10822649. The next prime is 10822657. The reversal of 10822656 is 65622801.

It is not an unprimeable number, because it can be changed into a prime (10822657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39801 + ... + 40071.

Almost surely, 2^10822656 is an apocalyptic number.

10822656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10822656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15589952).

10822656 is an abundant number, since it is smaller than the sum of its proper divisors (20357248).

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

10822656 is a wasteful number, since it uses less digits than its factorization.

10822656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 10822656 is about 3289.7805397929. The cubic root of 10822656 is about 221.1963475510.

The spelling of 10822656 in words is "ten million, eight hundred twenty-two thousand, six hundred fifty-six".