23584960 has 56 divisors (see below), whose sum is σ = 64190880. Its totient is φ = 8085504.

The previous prime is 23584949. The next prime is 23584987. The reversal of 23584960 is 6948532.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 3025 + ... + 7504.

Almost surely, 2^23584960 is an apocalyptic number.

23584960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23584960 is an abundant number, since it is smaller than the sum of its proper divisors (40605920).

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

23584960 is a wasteful number, since it uses less digits than its factorization.

23584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10553 (or 10543 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 23584960 is about 4856.4349063897. The cubic root of 23584960 is about 286.7774825458. Note that the first 3 decimals are identical.

The spelling of 23584960 in words is "twenty-three million, five hundred eighty-four thousand, nine hundred sixty".