22968144 has 80 divisors (see below), whose sum is σ = 66860800. Its totient is φ = 7547904.

The previous prime is 22968119. The next prime is 22968151. The reversal of 22968144 is 44186922.

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 = 22968099 and 22968108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33792 + ... + 34464.

It is an arithmetic number, because the mean of its divisors is an integer number (835760).

Almost surely, 2^22968144 is an apocalyptic number.

22968144 is a gapful number since it is divisible by the number (24) 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 22968144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33430400).

22968144 is an abundant number, since it is smaller than the sum of its proper divisors (43892656).

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

22968144 is a wasteful number, since it uses less digits than its factorization.

22968144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 757 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 22968144 is about 4792.5091549208. The cubic root of 22968144 is about 284.2553413411.

It can be divided in two parts, 2296 and 8144, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 22968144 in words is "twenty-two million, nine hundred sixty-eight thousand, one hundred forty-four".