23801680 has 80 divisors (see below), whose sum is σ = 66602880. Its totient is φ = 7727616.

The previous prime is 23801653. The next prime is 23801719. The reversal of 23801680 is 8610832.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9522 + ... + 11758.

It is an arithmetic number, because the mean of its divisors is an integer number (832536).

Almost surely, 2^23801680 is an apocalyptic number.

23801680 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 23801680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33301440).

23801680 is an abundant number, since it is smaller than the sum of its proper divisors (42801200).

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

23801680 is a wasteful number, since it uses less digits than its factorization.

23801680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 23801680 is about 4878.6965472347. The cubic root of 23801680 is about 287.6531962367.

The spelling of 23801680 in words is "twenty-three million, eight hundred one thousand, six hundred eighty".