21870000 has 200 divisors, whose sum is σ = 79412080. Its totient is φ = 5832000.

The previous prime is 21869999. The next prime is 21870011. The reversal of 21870000 is 7812.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4373998 + ... + 4374002.

Almost surely, 2^21870000 is an apocalyptic number.

21870000 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 21870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39706040).

21870000 is an abundant number, since it is smaller than the sum of its proper divisors (57542080).

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

21870000 is an frugal number, since it uses more digits than its factorization.

21870000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 21870000 is about 4676.5371804360. The cubic root of 21870000 is about 279.6509255358.

Adding to 21870000 its reverse (7812), we get a palindrome (21877812).

The spelling of 21870000 in words is "twenty-one million, eight hundred seventy thousand".