23680800 has 432 divisors, whose sum is σ = 102368448. Its totient is φ = 5068800.

The previous prime is 23680729. The next prime is 23680819. The reversal of 23680800 is 808632.

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 71 ways as a sum of consecutive naturals, for example, 1029589 + ... + 1029611.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 2^23680800 is an apocalyptic number.

23680800 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 23680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51184224).

23680800 is an abundant number, since it is smaller than the sum of its proper divisors (78687648).

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

23680800 is a wasteful number, since it uses less digits than its factorization.

23680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 23680800 is about 4866.2922230380. The cubic root of 23680800 is about 287.1654078546.

The spelling of 23680800 in words is "twenty-three million, six hundred eighty thousand, eight hundred".