822966144 has 256 divisors, whose sum is σ = 2936424960. Its totient is φ = 197222400.

The previous prime is 822966143. The next prime is 822966191. The reversal of 822966144 is 441669228.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 822966096 and 822966105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822966143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383314 + ... + 385454.

It is an arithmetic number, because the mean of its divisors is an integer number (11470410).

Almost surely, 2^822966144 is an apocalyptic number.

822966144 is a gapful number since it is divisible by the number (84) 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 822966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468212480).

822966144 is an abundant number, since it is smaller than the sum of its proper divisors (2113458816).

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

822966144 is a wasteful number, since it uses less digits than its factorization.

822966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2177 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 822966144 is about 28687.3864965075. The cubic root of 822966144 is about 937.1173740273.

The spelling of 822966144 in words is "eight hundred twenty-two million, nine hundred sixty-six thousand, one hundred forty-four".