22966128 has 60 divisors (see below), whose sum is σ = 65785720. Its totient is φ = 7475328.

The previous prime is 22966123. The next prime is 22966129. The reversal of 22966128 is 82166922.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22966092 and 22966101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22966123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4338 + ... + 8046.

Almost surely, 2^22966128 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 22966128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32892860).

22966128 is an abundant number, since it is smaller than the sum of its proper divisors (42819592).

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

22966128 is a wasteful number, since it uses less digits than its factorization.

22966128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3757 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 22966128 is about 4792.2988220686. The cubic root of 22966128 is about 284.2470243792.

The spelling of 22966128 in words is "twenty-two million, nine hundred sixty-six thousand, one hundred twenty-eight".