23840320 has 112 divisors (see below), whose sum is σ = 67299840. Its totient is φ = 7870464.

The previous prime is 23840317. The next prime is 23840353. The reversal of 23840320 is 2304832.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 23840291 and 23840300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64777 + ... + 65143.

Almost surely, 2^23840320 is an apocalyptic number.

23840320 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 23840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33649920).

23840320 is an abundant number, since it is smaller than the sum of its proper divisors (43459520).

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

23840320 is a wasteful number, since it uses less digits than its factorization.

23840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 23840320 is about 4882.6550154603. The cubic root of 23840320 is about 287.8087722326.

The spelling of 23840320 in words is "twenty-three million, eight hundred forty thousand, three hundred twenty".