23724320 has 48 divisors (see below), whose sum is σ = 57992760. Its totient is φ = 9160704.

The previous prime is 23724319. The next prime is 23724329. The reversal of 23724320 is 2342732.

It can be written as a sum of positive squares in 4 ways, for example, as 11641744 + 12082576 = 3412^2 + 3476^2 .

It is not an unprimeable number, because it can be changed into a prime (23724329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2084 + ... + 7196.

Almost surely, 2^23724320 is an apocalyptic number.

23724320 is a gapful number since it is divisible by the number (20) 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 23724320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28996380).

23724320 is an abundant number, since it is smaller than the sum of its proper divisors (34268440).

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

23724320 is a wasteful number, since it uses less digits than its factorization.

23724320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 23724320 is about 4870.7617474067. The cubic root of 23724320 is about 287.3412154079.

The spelling of 23724320 in words is "twenty-three million, seven hundred twenty-four thousand, three hundred twenty".