822630816 has 432 divisors, whose sum is σ = 3011613696. Its totient is φ = 219469824.

The previous prime is 822630803. The next prime is 822630863. The reversal of 822630816 is 618036228.

822630816 is a `hidden beast` number, since 8 + 2 + 2 + 630 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6477345 + ... + 6477471.

It is an arithmetic number, because the mean of its divisors is an integer number (6971328).

Almost surely, 2^822630816 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 822630816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505806848).

822630816 is an abundant number, since it is smaller than the sum of its proper divisors (2188982880).

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

822630816 is a wasteful number, since it uses less digits than its factorization.

822630816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 822630816 is about 28681.5413811741. The cubic root of 822630816 is about 936.9900766136.

The spelling of 822630816 in words is "eight hundred twenty-two million, six hundred thirty thousand, eight hundred sixteen".