21682752 has 224 divisors, whose sum is σ = 75785472. Its totient is φ = 5308416.

The previous prime is 21682709. The next prime is 21682757. The reversal of 21682752 is 25728612.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (21682757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296988 + ... + 297060.

It is an arithmetic number, because the mean of its divisors is an integer number (338328).

Almost surely, 2^21682752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21682752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37892736).

21682752 is an abundant number, since it is smaller than the sum of its proper divisors (54102720).

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

21682752 is a wasteful number, since it uses less digits than its factorization.

21682752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 21682752 is about 4656.4742026559. The cubic root of 21682752 is about 278.8505256553.

The spelling of 21682752 in words is "twenty-one million, six hundred eighty-two thousand, seven hundred fifty-two".