22564080 has 360 divisors, whose sum is σ = 97764576. Its totient is φ = 4561920.

The previous prime is 22564067. The next prime is 22564097. The reversal of 22564080 is 8046522.

22564080 is a `hidden beast` number, since 2 + 256 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 609822 + ... + 609858.

Almost surely, 2^22564080 is an apocalyptic number.

22564080 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 22564080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48882288).

22564080 is an abundant number, since it is smaller than the sum of its proper divisors (75200496).

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

22564080 is a wasteful number, since it uses less digits than its factorization.

22564080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22564080 is about 4750.1663128779. The cubic root of 22564080 is about 282.5785616991.

It can be divided in two parts, 2256 and 4080, that added together give a palindrome (6336).

The spelling of 22564080 in words is "twenty-two million, five hundred sixty-four thousand, eighty".