822536640 has 448 divisors, whose sum is σ = 3113349120. Its totient is φ = 204042240.

The previous prime is 822536621. The next prime is 822536731. The reversal of 822536640 is 46635228.

822536640 is a `hidden beast` number, since 8 + 2 + 2 + 5 + 3 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 822536595 and 822536604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9910039 + ... + 9910121.

It is an arithmetic number, because the mean of its divisors is an integer number (6949440).

Almost surely, 2^822536640 is an apocalyptic number.

822536640 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 822536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556674560).

822536640 is an abundant number, since it is smaller than the sum of its proper divisors (2290812480).

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

822536640 is a wasteful number, since it uses less digits than its factorization.

822536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 822536640 is about 28679.8995814142. The cubic root of 822536640 is about 936.9543192430.

The spelling of 822536640 in words is "eight hundred twenty-two million, five hundred thirty-six thousand, six hundred forty".