21814416 has 120 divisors (see below), whose sum is σ = 67523456. Its totient is φ = 6531840.

The previous prime is 21814399. The next prime is 21814433. The reversal of 21814416 is 61441812.

It is a happy number.

21814416 is a `hidden beast` number, since 218 + 1 + 441 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (21814399) and next prime (21814433).

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

It is a self number, because there is not a number n which added to its sum of digits gives 21814416.

It is an unprimeable number.

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, 80361 + ... + 80631.

Almost surely, 2^21814416 is an apocalyptic number.

21814416 is a gapful number since it is divisible by the number (26) 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 21814416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33761728).

21814416 is an abundant number, since it is smaller than the sum of its proper divisors (45709040).

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

21814416 is a wasteful number, since it uses less digits than its factorization.

21814416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 332 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 21814416 is about 4670.5905408203. The cubic root of 21814416 is about 279.4138076505.

The spelling of 21814416 in words is "twenty-one million, eight hundred fourteen thousand, four hundred sixteen".