21814128 has 240 divisors, whose sum is σ = 78923520. Its totient is φ = 5474304.

The previous prime is 21814123. The next prime is 21814141. The reversal of 21814128 is 82141812.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21814123) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 325551 + ... + 325617.

It is an arithmetic number, because the mean of its divisors is an integer number (328848).

Almost surely, 2^21814128 is an apocalyptic number.

21814128 is a gapful number since it is divisible by the number (28) 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 21814128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39461760).

21814128 is an abundant number, since it is smaller than the sum of its proper divisors (57109392).

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

21814128 is a wasteful number, since it uses less digits than its factorization.

21814128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

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

The square root of 21814128 is about 4670.5597094995. The cubic root of 21814128 is about 279.4125780121.

The spelling of 21814128 in words is "twenty-one million, eight hundred fourteen thousand, one hundred twenty-eight".