22645128 has 64 divisors (see below), whose sum is σ = 63774720. Its totient is φ = 6638400.

The previous prime is 22645127. The next prime is 22645163. The reversal of 22645128 is 82154622.

It is a junction number, because it is equal to n+sod(n) for n = 22645095 and 22645104.

It is not an unprimeable number, because it can be changed into a prime (22645121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6801 + ... + 9567.

It is an arithmetic number, because the mean of its divisors is an integer number (996480).

Almost surely, 2^22645128 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 22645128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31887360).

22645128 is an abundant number, since it is smaller than the sum of its proper divisors (41129592).

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

22645128 is a wasteful number, since it uses less digits than its factorization.

22645128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2814 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 22645128 is about 4758.6897356310. The cubic root of 22645128 is about 282.9164890709.

It can be divided in two parts, 226 and 45128, that added together give a palindrome (45354).

The spelling of 22645128 in words is "twenty-two million, six hundred forty-five thousand, one hundred twenty-eight".