23681760 has 96 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 6240768.

The previous prime is 23681759. The next prime is 23681761. The reversal of 23681760 is 6718632.

It is an interprime number because it is at equal distance from previous prime (23681759) and next prime (23681761).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23681761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49201 + ... + 49679.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^23681760 is an apocalyptic number.

23681760 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 23681760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

23681760 is an abundant number, since it is smaller than the sum of its proper divisors (51797280).

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

23681760 is a wasteful number, since it uses less digits than its factorization.

23681760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 23681760 is about 4866.3908597646. The cubic root of 23681760 is about 287.1692882847.

The spelling of 23681760 in words is "twenty-three million, six hundred eighty-one thousand, seven hundred sixty".