21364128 has 96 divisors (see below), whose sum is σ = 63302400. Its totient is φ = 7008768.

The previous prime is 21364127. The next prime is 21364139. The reversal of 21364128 is 82146312.

21364128 is a `hidden beast` number, since 2 + 13 + 641 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (21364127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68100 + ... + 68412.

It is an arithmetic number, because the mean of its divisors is an integer number (659400).

Almost surely, 2^21364128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21364128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31651200).

21364128 is an abundant number, since it is smaller than the sum of its proper divisors (41938272).

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

21364128 is a wasteful number, since it uses less digits than its factorization.

21364128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 21364128 is about 4622.1345718185. The cubic root of 21364128 is about 277.4778945138.

The spelling of 21364128 in words is "twenty-one million, three hundred sixty-four thousand, one hundred twenty-eight".