21868000 has 192 divisors, whose sum is σ = 67931136. Its totient is φ = 6720000.

The previous prime is 21867983. The next prime is 21868013. The reversal of 21868000 is 86812.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 307965 + ... + 308035.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 2^21868000 is an apocalyptic number.

21868000 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 21868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33965568).

21868000 is an abundant number, since it is smaller than the sum of its proper divisors (46063136).

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

21868000 is a wasteful number, since it uses less digits than its factorization.

21868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 21868000 is about 4676.3233421140. The cubic root of 21868000 is about 279.6424006326.

The spelling of 21868000 in words is "twenty-one million, eight hundred sixty-eight thousand".