822560 has 48 divisors (see below), whose sum is σ = 2000376. Its totient is φ = 319488.

The previous prime is 822557. The next prime is 822571. The reversal of 822560 is 65228.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 712336 + 110224 = 844^2 + 332^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 822560.

It is an unprimeable number.

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, 8432 + ... + 8528.

2⁸²²⁵⁶⁰ is an apocalyptic number.

822560 is a gapful number since it is divisible by the number (80) 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 822560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000188).

822560 is an abundant number, since it is smaller than the sum of its proper divisors (1177816).

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

822560 is a wasteful number, since it uses less digits than its factorization.

822560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 822560 is about 906.9509358284. The cubic root of 822560 is about 93.6963188978.

Adding to 822560 its reverse (65228), we get a palindrome (887788).

It can be divided in two parts, 822 and 560, that multiplied together give a triangular number (460320 = T₉₅₉).

The spelling of 822560 in words is "eight hundred twenty-two thousand, five hundred sixty".