22668560 has 40 divisors (see below), whose sum is σ = 53032320. Its totient is φ = 9011072.

The previous prime is 22668557. The next prime is 22668589. The reversal of 22668560 is 6586622.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×22668560² = 1027727224947200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22668560.

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 7 ways as a sum of consecutive naturals, for example, 13529 + ... + 15111.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2^22668560 is an apocalyptic number.

22668560 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 22668560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516160).

22668560 is an abundant number, since it is smaller than the sum of its proper divisors (30363760).

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

22668560 is a wasteful number, since it uses less digits than its factorization.

22668560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 22668560 is about 4761.1511213151. The cubic root of 22668560 is about 283.0140378524.

It can be divided in two parts, 226 and 68560, that added together give a palindrome (68786).

The spelling of 22668560 in words is "twenty-two million, six hundred sixty-eight thousand, five hundred sixty".