822160 has 40 divisors (see below), whose sum is σ = 1964160. Its totient is φ = 319872.

The previous prime is 822139. The next prime is 822161. The reversal of 822160 is 61228.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (822161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3321 + ... + 3559.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2⁸²²¹⁶⁰ is an apocalyptic number.

822160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080).

822160 is an abundant number, since it is smaller than the sum of its proper divisors (1142000).

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

822160 is a wasteful number, since it uses less digits than its factorization.

822160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

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

The square root of 822160 is about 906.7303899175. The cubic root of 822160 is about 93.6811286769.

Adding to 822160 its reverse (61228), we get a palindrome (883388).

It can be divided in two parts, 8221 and 60, that added together give a square (8281 = 91²).

The spelling of 822160 in words is "eight hundred twenty-two thousand, one hundred sixty".