822938688 has 336 divisors, whose sum is σ = 2826934656. Its totient is φ = 225607680.

The previous prime is 822938681. The next prime is 822938707. The reversal of 822938688 is 886839228.

It is a super-2 number, since 2×822938688² = 1354456168414322688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (822938681) 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, 7989645 + ... + 7989747.

It is an arithmetic number, because the mean of its divisors is an integer number (8413496).

Almost surely, 2^822938688 is an apocalyptic number.

822938688 is a gapful number since it is divisible by the number (88) 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 822938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413467328).

822938688 is an abundant number, since it is smaller than the sum of its proper divisors (2003995968).

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

822938688 is a wasteful number, since it uses less digits than its factorization.

822938688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 822938688 is about 28686.9079546751. The cubic root of 822938688 is about 937.1069524642.

The spelling of 822938688 in words is "eight hundred twenty-two million, nine hundred thirty-eight thousand, six hundred eighty-eight".