22636160 has 64 divisors (see below), whose sum is σ = 54767880. Its totient is φ = 8945664.

The previous prime is 22636127. The next prime is 22636177. The reversal of 22636160 is 6163622.

It can be written as a sum of positive squares in 4 ways, for example, as 3904576 + 18731584 = 1976^2 + 4328^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72164 + ... + 72476.

Almost surely, 2^22636160 is an apocalyptic number.

22636160 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 22636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27383940).

22636160 is an abundant number, since it is smaller than the sum of its proper divisors (32131720).

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

22636160 is a wasteful number, since it uses less digits than its factorization.

22636160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 22636160 is about 4757.7473661387. The cubic root of 22636160 is about 282.8791369588.

Adding to 22636160 its reverse (6163622), we get a palindrome (28799782).

The spelling of 22636160 in words is "twenty-two million, six hundred thirty-six thousand, one hundred sixty".