822432 has 48 divisors (see below), whose sum is σ = 2328480. Its totient is φ = 252672.

The previous prime is 822431. The next prime is 822433. The reversal of 822432 is 234228.

822432 = T₄₂₃ + T₄₂₄ + ... + T₄₃₁.

It is an interprime number because it is at equal distance from previous prime (822431) and next prime (822433).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 822399 and 822408.

It is not an unprimeable number, because it can be changed into a prime (822431) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 919 + ... + 1577.

It is an arithmetic number, because the mean of its divisors is an integer number (48510).

2⁸²²⁴³² 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 822432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164240).

822432 is an abundant number, since it is smaller than the sum of its proper divisors (1506048).

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

822432 is a wasteful number, since it uses less digits than its factorization.

822432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 677 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 822432 is about 906.8803669724. The cubic root of 822432 is about 93.6914585630.

It can be divided in two parts, 8224 and 32, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 822432 in words is "eight hundred twenty-two thousand, four hundred thirty-two".