21924384 has 48 divisors (see below), whose sum is σ = 58006368. Its totient is φ = 7250432.

The previous prime is 21924379. The next prime is 21924389. The reversal of 21924384 is 48342912.

It is an interprime number because it is at equal distance from previous prime (21924379) and next prime (21924389).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21924384² = 961357227558912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21924389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12319 + ... + 13985.

It is an arithmetic number, because the mean of its divisors is an integer number (1208466).

Almost surely, 2^21924384 is an apocalyptic number.

21924384 is a gapful number since it is divisible by the number (24) 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 21924384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29003184).

21924384 is an abundant number, since it is smaller than the sum of its proper divisors (36081984).

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

21924384 is a wasteful number, since it uses less digits than its factorization.

21924384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1809 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 21924384 is about 4682.3481288772. The cubic root of 21924384 is about 279.8825357629.

The spelling of 21924384 in words is "twenty-one million, nine hundred twenty-four thousand, three hundred eighty-four".