22641768 has 96 divisors (see below), whose sum is σ = 67048800. Its totient is φ = 7138368.

The previous prime is 22641767. The next prime is 22641793. The reversal of 22641768 is 86714622.

22641768 is a `hidden beast` number, since 2 + 2 + 641 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22641761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36630 + ... + 37242.

It is an arithmetic number, because the mean of its divisors is an integer number (698425).

Almost surely, 2^22641768 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 22641768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33524400).

22641768 is an abundant number, since it is smaller than the sum of its proper divisors (44407032).

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

22641768 is a wasteful number, since it uses less digits than its factorization.

22641768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 637 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 22641768 is about 4758.3366841786. The cubic root of 22641768 is about 282.9024956794.

It can be divided in two parts, 22641 and 768, that added together give a square (23409 = 153²).

The spelling of 22641768 in words is "twenty-two million, six hundred forty-one thousand, seven hundred sixty-eight".