10822560 has 96 divisors (see below), whose sum is σ = 38973312. Its totient is φ = 2472960.

The previous prime is 10822543. The next prime is 10822561. The reversal of 10822560 is 6522801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10822560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10822561) 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, 1750 + ... + 4970.

It is an arithmetic number, because the mean of its divisors is an integer number (405972).

Almost surely, 2^10822560 is an apocalyptic number.

10822560 is a gapful number since it is divisible by the number (10) 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 10822560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19486656).

10822560 is an abundant number, since it is smaller than the sum of its proper divisors (28150752).

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

10822560 is a wasteful number, since it uses less digits than its factorization.

10822560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10822560 is about 3289.7659491216. The cubic root of 10822560 is about 221.1956935245.

The spelling of 10822560 in words is "ten million, eight hundred twenty-two thousand, five hundred sixty".