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23760 has 80 divisors (see below), whose sum is σ = 89280. Its totient is φ = 5760.

The previous prime is 23753. The next prime is 23761. The reversal of 23760 is 6732.

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 (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 23760.

It is not an unprimeable number, because it can be changed into a prime (23761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2155 + ... + 2165.

It is an arithmetic number, because the mean of its divisors is an integer number (1116).

223760 is an apocalyptic number.

23760 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 23760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640).

23760 is an abundant number, since it is smaller than the sum of its proper divisors (65520).

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

23760 is a wasteful number, since it uses less digits than its factorization.

23760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 23760 is about 154.1427909440. The cubic root of 23760 is about 28.7485191424.

The spelling of 23760 in words is "twenty-three thousand, seven hundred sixty".