21614112 has 144 divisors (see below), whose sum is σ = 69346368. Its totient is φ = 6336000.

The previous prime is 21614057. The next prime is 21614141. The reversal of 21614112 is 21141612.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85987 + ... + 86237.

It is an arithmetic number, because the mean of its divisors is an integer number (481572).

Almost surely, 2^21614112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21614112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34673184).

21614112 is an abundant number, since it is smaller than the sum of its proper divisors (47732256).

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

21614112 is a wasteful number, since it uses less digits than its factorization.

21614112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 21614112 is about 4649.0979770274. The cubic root of 21614112 is about 278.5559669074. Note that the first 3 decimals are identical.

Adding to 21614112 its reverse (21141612), we get a palindrome (42755724).

It can be divided in two parts, 216141 and 12, that added together give a triangular number (216153 = T₆₅₇).

The spelling of 21614112 in words is "twenty-one million, six hundred fourteen thousand, one hundred twelve".