23814144 has 168 divisors, whose sum is σ = 76672440. Its totient is φ = 7077888.

The previous prime is 23814143. The next prime is 23814149. The reversal of 23814144 is 44141832.

It is a super-2 number, since 2×23814144² = 1134226908905472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23814143) 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, 1253367 + ... + 1253385.

Almost surely, 2^23814144 is an apocalyptic number.

23814144 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 23814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38336220).

23814144 is an abundant number, since it is smaller than the sum of its proper divisors (52858296).

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

23814144 is a wasteful number, since it uses less digits than its factorization.

23814144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 23814144 is about 4879.9737704213. The cubic root of 23814144 is about 287.7033983484.

Adding to 23814144 its reverse (44141832), we get a palindrome (67955976).

The spelling of 23814144 in words is "twenty-three million, eight hundred fourteen thousand, one hundred forty-four".