22008064 has 72 divisors (see below), whose sum is σ = 50221080. Its totient is φ = 9535488.

The previous prime is 22008043. The next prime is 22008067. The reversal of 22008064 is 46080022.

It can be written as a sum of positive squares in 4 ways, for example, as 921600 + 21086464 = 960^2 + 4592^2 .

It is not an unprimeable number, because it can be changed into a prime (22008067) 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, 56382 + ... + 56770.

It is an arithmetic number, because the mean of its divisors is an integer number (697515).

Almost surely, 2^22008064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25110540).

22008064 is an abundant number, since it is smaller than the sum of its proper divisors (28213016).

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

22008064 is a wasteful number, since it uses less digits than its factorization.

22008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 22008064 is about 4691.2753063533. The cubic root of 22008064 is about 280.2381647094.

Adding to 22008064 its reverse (46080022), we get a palindrome (68088086).

The spelling of 22008064 in words is "twenty-two million, eight thousand, sixty-four".