822016 has 54 divisors (see below), whose sum is σ = 1870260. Its totient is φ = 359424.

The previous prime is 822013. The next prime is 822037. The reversal of 822016 is 610228.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 821984 and 822002.

It is not an unprimeable number, because it can be changed into a prime (822011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43255 + ... + 43273.

2⁸²²⁰¹⁶ 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 822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935130).

822016 is an abundant number, since it is smaller than the sum of its proper divisors (1048244).

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

822016 is a wasteful number, since it uses less digits than its factorization.

822016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 822016 is about 906.6509802565. The cubic root of 822016 is about 93.6756589913.

Multiplying 822016 by its sum of digits (19), we get a square (15618304 = 3952²).

822016 divided by its sum of digits (19) gives a square (43264 = 208²).

The spelling of 822016 in words is "eight hundred twenty-two thousand, sixteen".