21713760 has 144 divisors (see below), whose sum is σ = 78545376. Its totient is φ = 5443584.

The previous prime is 21713737. The next prime is 21713761. The reversal of 21713760 is 6731712.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21713761) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24037 + ... + 24923.

It is an arithmetic number, because the mean of its divisors is an integer number (545454).

Almost surely, 2^21713760 is an apocalyptic number.

21713760 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 21713760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39272688).

21713760 is an abundant number, since it is smaller than the sum of its proper divisors (56831616).

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

21713760 is a wasteful number, since it uses less digits than its factorization.

21713760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 21713760 is about 4659.8025709251. The cubic root of 21713760 is about 278.9833882274.

The spelling of 21713760 in words is "twenty-one million, seven hundred thirteen thousand, seven hundred sixty".