822648960 has 320 divisors, whose sum is σ = 3358998720. Its totient is φ = 187951104.

The previous prime is 822648941. The next prime is 822648961. The reversal of 822648960 is 69846228.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×822648960² = 1353502622778163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (822648961) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 361747 + ... + 364013.

It is an arithmetic number, because the mean of its divisors is an integer number (10496871).

Almost surely, 2^822648960 is an apocalyptic number.

822648960 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 822648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679499360).

822648960 is an abundant number, since it is smaller than the sum of its proper divisors (2536349760).

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

822648960 is a wasteful number, since it uses less digits than its factorization.

822648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 822648960 is about 28681.8576804223. The cubic root of 822648960 is about 936.9969653348.

The spelling of 822648960 in words is "eight hundred twenty-two million, six hundred forty-eight thousand, nine hundred sixty".