23520384 has 96 divisors (see below), whose sum is σ = 71723340. Its totient is φ = 7372800.

The previous prime is 23520349. The next prime is 23520403. The reversal of 23520384 is 48302532.

It can be written as a sum of positive squares in 2 ways, for example, as 22353984 + 1166400 = 4728^2 + 1080^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18984 + ... + 20184.

Almost surely, 2^23520384 is an apocalyptic number.

23520384 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 23520384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35861670).

23520384 is an abundant number, since it is smaller than the sum of its proper divisors (48202956).

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

23520384 is a wasteful number, since it uses less digits than its factorization.

23520384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 23520384 is about 4849.7818507640. The cubic root of 23520384 is about 286.5155095174.

The spelling of 23520384 in words is "twenty-three million, five hundred twenty thousand, three hundred eighty-four".