822416 has 30 divisors (see below), whose sum is σ = 1855350. Its totient is φ = 352128.

The previous prime is 822407. The next prime is 822431. The reversal of 822416 is 614228.

It can be written as a sum of positive squares in only one way, i.e., 802816 + 19600 = 896^2 + 140^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 822391 and 822400.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 822416.

It is an unprimeable number.

822416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 260 + ... + 1308.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

2⁸²²⁴¹⁶ 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 822416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927675).

822416 is an abundant number, since it is smaller than the sum of its proper divisors (1032934).

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

822416 is a wasteful number, since it uses less digits than its factorization.

822416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1058 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 822416 is about 906.8715454793. The cubic root of 822416 is about 93.6908509857.

The spelling of 822416 in words is "eight hundred twenty-two thousand, four hundred sixteen".