822651648 has 288 divisors, whose sum is σ = 2747136000. Its totient is φ = 212779008.

The previous prime is 822651647. The next prime is 822651679. The reversal of 822651648 is 846156228.

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

It is not an unprimeable number, because it can be changed into a prime (822651647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5521078 + ... + 5521226.

Almost surely, 2^822651648 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 822651648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373568000).

822651648 is an abundant number, since it is smaller than the sum of its proper divisors (1924484352).

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

822651648 is a wasteful number, since it uses less digits than its factorization.

822651648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 822651648 is about 28681.9045392735. The cubic root of 822651648 is about 936.9979858775.

The spelling of 822651648 in words is "eight hundred twenty-two million, six hundred fifty-one thousand, six hundred forty-eight".