822464 has 28 divisors (see below), whose sum is σ = 1664208. Its totient is φ = 403200.

The previous prime is 822433. The next prime is 822517. The reversal of 822464 is 464228.

It is an unprimeable number.

822464 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 3 ways as a sum of consecutive naturals, for example, 4454 + ... + 4634.

It is an arithmetic number, because the mean of its divisors is an integer number (59436).

2⁸²²⁴⁶⁴ 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 822464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832104).

822464 is an abundant number, since it is smaller than the sum of its proper divisors (841744).

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

822464 is a wasteful number, since it uses less digits than its factorization.

822464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 822464 is about 906.8980097012. The cubic root of 822464 is about 93.6926736940.

The spelling of 822464 in words is "eight hundred twenty-two thousand, four hundred sixty-four".