23968224 has 120 divisors (see below), whose sum is σ = 80620848. Its totient is φ = 6842880.

The previous prime is 23968223. The next prime is 23968271. The reversal of 23968224 is 42286932.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (23968223) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17484 + ... + 18804.

Almost surely, 2^23968224 is an apocalyptic number.

23968224 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 23968224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40310424).

23968224 is an abundant number, since it is smaller than the sum of its proper divisors (56652624).

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

23968224 is a wasteful number, since it uses less digits than its factorization.

23968224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1333 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 23968224 is about 4895.7352869615. The cubic root of 23968224 is about 288.3225552752.

The spelling of 23968224 in words is "twenty-three million, nine hundred sixty-eight thousand, two hundred twenty-four".