21876384 has 48 divisors (see below), whose sum is σ = 57788640. Its totient is φ = 7246080.

The previous prime is 21876377. The next prime is 21876389. The reversal of 21876384 is 48367812.

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

It is not an unprimeable number, because it can be changed into a prime (21876389) 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, 16747 + ... + 18005.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 2^21876384 is an apocalyptic number.

21876384 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 21876384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894320).

21876384 is an abundant number, since it is smaller than the sum of its proper divisors (35912256).

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

21876384 is a wasteful number, since it uses less digits than its factorization.

21876384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1445 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 21876384 is about 4677.2196869508. The cubic root of 21876384 is about 279.6781335502.

The spelling of 21876384 in words is "twenty-one million, eight hundred seventy-six thousand, three hundred eighty-four".