822672 has 60 divisors (see below), whose sum is σ = 2393820. Its totient is φ = 263424.

The previous prime is 822671. The next prime is 822673. The reversal of 822672 is 276228.

It is an interprime number because it is at equal distance from previous prime (822671) and next prime (822673).

It can be written as a sum of positive squares in 2 ways, for example, as 665856 + 156816 = 816^2 + 396^2 .

It is not an unprimeable number, because it can be changed into a prime (822671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4078 + ... + 4274.

It is an arithmetic number, because the mean of its divisors is an integer number (39897).

2⁸²²⁶⁷² 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 822672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196910).

822672 is an abundant number, since it is smaller than the sum of its proper divisors (1571148).

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

822672 is a wasteful number, since it uses less digits than its factorization.

822672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 822672 is about 907.0126790735. The cubic root of 822672 is about 93.7005712771.

The spelling of 822672 in words is "eight hundred twenty-two thousand, six hundred seventy-two".