822616560 has 400 divisors, whose sum is σ = 3037769856. Its totient is φ = 206032896.

The previous prime is 822616547. The next prime is 822616567. The reversal of 822616560 is 65616228.

822616560 is a `hidden beast` number, since 82 + 2 + 6 + 16 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822616567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11268684 + ... + 11268756.

Almost surely, 2^822616560 is an apocalyptic number.

822616560 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 822616560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518884928).

822616560 is an abundant number, since it is smaller than the sum of its proper divisors (2215153296).

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

822616560 is a wasteful number, since it uses less digits than its factorization.

822616560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 822616560 is about 28681.2928578891. The cubic root of 822616560 is about 936.9846639759.

The spelling of 822616560 in words is "eight hundred twenty-two million, six hundred sixteen thousand, five hundred sixty".