21888000 has 264 divisors, whose sum is σ = 83026320. Its totient is φ = 5529600.

The previous prime is 21887969. The next prime is 21888007. The reversal of 21888000 is 88812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21888007) 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 23 ways as a sum of consecutive naturals, for example, 1151991 + ... + 1152009.

Almost surely, 2^21888000 is an apocalyptic number.

21888000 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 21888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41513160).

21888000 is an abundant number, since it is smaller than the sum of its proper divisors (61138320).

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

21888000 is a wasteful number, since it uses less digits than its factorization.

21888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 21888000 is about 4678.4612855083. The cubic root of 21888000 is about 279.7276262872.

The spelling of 21888000 in words is "twenty-one million, eight hundred eighty-eight thousand".