21144000 has 112 divisors (see below), whose sum is σ = 69896736. Its totient is φ = 5632000.

The previous prime is 21143999. The next prime is 21144029. The reversal of 21144000 is 44112.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 23560 + ... + 24440.

It is an arithmetic number, because the mean of its divisors is an integer number (624078).

Almost surely, 2^21144000 is an apocalyptic number.

21144000 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 21144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34948368).

21144000 is an abundant number, since it is smaller than the sum of its proper divisors (48752736).

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

21144000 is an equidigital number, since it uses as much as digits as its factorization.

21144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 21144000 is about 4598.2605406827. The cubic root of 21144000 is about 276.5215929474.

Adding to 21144000 its reverse (44112), we get a palindrome (21188112).

The spelling of 21144000 in words is "twenty-one million, one hundred forty-four thousand".