822488520 has 192 divisors, whose sum is σ = 2937971520. Its totient is φ = 183568896.

The previous prime is 822488507. The next prime is 822488521. The reversal of 822488520 is 25884228.

It is not an unprimeable number, because it can be changed into a prime (822488521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251214 + ... + 254466.

It is an arithmetic number, because the mean of its divisors is an integer number (15301935).

Almost surely, 2^822488520 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 822488520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468985760).

822488520 is an abundant number, since it is smaller than the sum of its proper divisors (2115483000).

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

822488520 is a wasteful number, since it uses less digits than its factorization.

822488520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 822488520 is about 28679.0606540730. The cubic root of 822488520 is about 936.9360476674.

The spelling of 822488520 in words is "eight hundred twenty-two million, four hundred eighty-eight thousand, five hundred twenty".