21464064 has 132 divisors (see below), whose sum is σ = 66101724. Its totient is φ = 6684672.

The previous prime is 21464057. The next prime is 21464077. The reversal of 21464064 is 46046412.

21464064 is a `hidden beast` number, since 2 + 14 + 640 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14745600 + 6718464 = 3840^2 + 2592^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156604 + ... + 156740.

Almost surely, 2^21464064 is an apocalyptic number.

21464064 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 21464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33050862).

21464064 is an abundant number, since it is smaller than the sum of its proper divisors (44637660).

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

21464064 is a wasteful number, since it uses less digits than its factorization.

21464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 21464064 is about 4632.9325486132. The cubic root of 21464064 is about 277.9098788327.

The spelling of 21464064 in words is "twenty-one million, four hundred sixty-four thousand, sixty-four".