21682000 has 80 divisors (see below), whose sum is σ = 54027792. Its totient is φ = 8409600.

The previous prime is 21681991. The next prime is 21682027. The reversal of 21682000 is 28612.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 226576 + 21455424 = 476^2 + 4632^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73854 + ... + 74146.

Almost surely, 2^21682000 is an apocalyptic number.

21682000 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 21682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27013896).

21682000 is an abundant number, since it is smaller than the sum of its proper divisors (32345792).

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

21682000 is a wasteful number, since it uses less digits than its factorization.

21682000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 21682000 is about 4656.3934541660. The cubic root of 21682000 is about 278.8473019252.

The spelling of 21682000 in words is "twenty-one million, six hundred eighty-two thousand".