822873168 has 300 divisors, whose sum is σ = 2740705660. Its totient is φ = 238298112.

The previous prime is 822873143. The next prime is 822873169. The reversal of 822873168 is 861378228.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 327899664 + 494973504 = 18108^2 + 22248^2 .

It is a super-2 number, since 2×822873168² = 1354240501228712448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822873169) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 48404296 + ... + 48404312.

Almost surely, 2^822873168 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 822873168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370352830).

822873168 is an abundant number, since it is smaller than the sum of its proper divisors (1917832492).

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

822873168 is a wasteful number, since it uses less digits than its factorization.

822873168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 35 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 822873168 is about 28685.7659475915. The cubic root of 822873168 is about 937.0820818884.

The spelling of 822873168 in words is "eight hundred twenty-two million, eight hundred seventy-three thousand, one hundred sixty-eight".