22560384 has 192 divisors, whose sum is σ = 76744800. Its totient is φ = 5806080.

The previous prime is 22560379. The next prime is 22560389. The reversal of 22560384 is 48306522.

It is an interprime number because it is at equal distance from previous prime (22560379) and next prime (22560389).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (22560389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206922 + ... + 207030.

Almost surely, 2^22560384 is an apocalyptic number.

22560384 is a gapful number since it is divisible by the number (24) 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 22560384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38372400).

22560384 is an abundant number, since it is smaller than the sum of its proper divisors (54184416).

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

22560384 is a wasteful number, since it uses less digits than its factorization.

22560384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 22560384 is about 4749.7772579354. Note that the first 3 decimals coincide. The cubic root of 22560384 is about 282.5631320517.

The spelling of 22560384 in words is "twenty-two million, five hundred sixty thousand, three hundred eighty-four".