21702000 has 80 divisors (see below), whose sum is σ = 69986592. Its totient is φ = 5785600.

The previous prime is 21701987. The next prime is 21702001. The reversal of 21702000 is 20712.

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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21702001) 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 15 ways as a sum of consecutive naturals, for example, 4192 + ... + 7808.

Almost surely, 2^21702000 is an apocalyptic number.

21702000 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 21702000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34993296).

21702000 is an abundant number, since it is smaller than the sum of its proper divisors (48284592).

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

21702000 is a wasteful number, since it uses less digits than its factorization.

21702000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 21702000 is about 4658.5405439901. The cubic root of 21702000 is about 278.9330140696.

Adding to 21702000 its reverse (20712), we get a palindrome (21722712).

The spelling of 21702000 in words is "twenty-one million, seven hundred two thousand".