23580960 has 96 divisors (see below), whose sum is σ = 80015040. Its totient is φ = 5803008.

The previous prime is 23580959. The next prime is 23580961. The reversal of 23580960 is 6908532.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23580959) and next prime (23580961).

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

It is not an unprimeable number, because it can be changed into a prime (23580961) by changing a digit.

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, 4351 + ... + 8129.

It is an arithmetic number, because the mean of its divisors is an integer number (833490).

Almost surely, 2^23580960 is an apocalyptic number.

23580960 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 23580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40007520).

23580960 is an abundant number, since it is smaller than the sum of its proper divisors (56434080).

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

23580960 is a wasteful number, since it uses less digits than its factorization.

23580960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 23580960 is about 4856.0230641956. The cubic root of 23580960 is about 286.7612691795.

It can be divided in two parts, 235809 and 60, that multiplied together give a triangular number (14148540 = T₅₃₁₉).

The spelling of 23580960 in words is "twenty-three million, five hundred eighty thousand, nine hundred sixty".