23983680 has 224 divisors, whose sum is σ = 90123264. Its totient is φ = 5289984.

The previous prime is 23983669. The next prime is 23983693. The reversal of 23983680 is 8638932.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288919 + ... + 289001.

It is an arithmetic number, because the mean of its divisors is an integer number (402336).

Almost surely, 2^23983680 is an apocalyptic number.

23983680 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 23983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45061632).

23983680 is an abundant number, since it is smaller than the sum of its proper divisors (66139584).

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

23983680 is a wasteful number, since it uses less digits than its factorization.

23983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 23983680 is about 4897.3135492839. The cubic root of 23983680 is about 288.3845172554.

The spelling of 23983680 in words is "twenty-three million, nine hundred eighty-three thousand, six hundred eighty".