23981600 has 72 divisors (see below), whose sum is σ = 60496128. Its totient is φ = 9273600.

The previous prime is 23981563. The next prime is 23981621. The reversal of 23981600 is 618932.

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 11 ways as a sum of consecutive naturals, for example, 24317 + ... + 25283.

It is an arithmetic number, because the mean of its divisors is an integer number (840224).

Almost surely, 2^23981600 is an apocalyptic number.

23981600 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 23981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30248064).

23981600 is an abundant number, since it is smaller than the sum of its proper divisors (36514528).

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

23981600 is a wasteful number, since it uses less digits than its factorization.

23981600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 23981600 is about 4897.1011833533. The cubic root of 23981600 is about 288.3761802371.

The spelling of 23981600 in words is "twenty-three million, nine hundred eighty-one thousand, six hundred".