22826160 has 180 divisors, whose sum is σ = 89311248. Its totient is φ = 5209344.

The previous prime is 22826159. The next prime is 22826183. The reversal of 22826160 is 6162822.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34957 + ... + 35603.

Almost surely, 2^22826160 is an apocalyptic number.

22826160 is a gapful number since it is divisible by the number (20) 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 22826160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44655624).

22826160 is an abundant number, since it is smaller than the sum of its proper divisors (66485088).

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

22826160 is a wasteful number, since it uses less digits than its factorization.

22826160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22826160 is about 4777.6730737881. The cubic root of 22826160 is about 283.6683956114.

Adding to 22826160 its reverse (6162822), we get a palindrome (28988982).

The spelling of 22826160 in words is "twenty-two million, eight hundred twenty-six thousand, one hundred sixty".