21184640 has 64 divisors (see below), whose sum is σ = 51408000. Its totient is φ = 8346624.

The previous prime is 21184637. The next prime is 21184643. The reversal of 21184640 is 4648112.

It is an interprime number because it is at equal distance from previous prime (21184637) and next prime (21184643).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (21184643) 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, 50351 + ... + 50769.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 2^21184640 is an apocalyptic number.

21184640 is a gapful number since it is divisible by the number (20) 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 21184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704000).

21184640 is an abundant number, since it is smaller than the sum of its proper divisors (30223360).

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

21184640 is an equidigital number, since it uses as much as digits as its factorization.

21184640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 21184640 is about 4602.6774816404. The cubic root of 21184640 is about 276.6986431001.

The spelling of 21184640 in words is "twenty-one million, one hundred eighty-four thousand, six hundred forty".