23781680 has 60 divisors (see below), whose sum is σ = 59906880. Its totient is φ = 8775936.

The previous prime is 23781679. The next prime is 23781697. The reversal of 23781680 is 8618732.

It is a self number, because there is not a number n which added to its sum of digits gives 23781680.

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 11 ways as a sum of consecutive naturals, for example, 12641 + ... + 14399.

It is an arithmetic number, because the mean of its divisors is an integer number (998448).

Almost surely, 2^23781680 is an apocalyptic number.

23781680 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 23781680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29953440).

23781680 is an abundant number, since it is smaller than the sum of its proper divisors (36125200).

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

23781680 is a wasteful number, since it uses less digits than its factorization.

23781680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 23781680 is about 4876.6463886569. The cubic root of 23781680 is about 287.5726042215.

The spelling of 23781680 in words is "twenty-three million, seven hundred eighty-one thousand, six hundred eighty".