21468384 has 144 divisors (see below), whose sum is σ = 72963072. Its totient is φ = 5854464.

The previous prime is 21468383. The next prime is 21468397. The reversal of 21468384 is 48386412.

21468384 = T₃₇₉ + T₃₈₀ + ... + T₅₆₇.

21468384 is a `hidden beast` number, since 214 + 68 + 384 = 666.

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 (36).

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 (21468383) by changing a digit.

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, 46137 + ... + 46599.

It is an arithmetic number, because the mean of its divisors is an integer number (506688).

Almost surely, 2^21468384 is an apocalyptic number.

21468384 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 21468384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36481536).

21468384 is an abundant number, since it is smaller than the sum of its proper divisors (51494688).

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

21468384 is a wasteful number, since it uses less digits than its factorization.

21468384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 498 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 21468384 is about 4633.3987525358. The cubic root of 21468384 is about 277.9285222444.

The spelling of 21468384 in words is "twenty-one million, four hundred sixty-eight thousand, three hundred eighty-four".