21664160 has 144 divisors (see below), whose sum is σ = 63213696. Its totient is φ = 6859776.

The previous prime is 21664147. The next prime is 21664163. The reversal of 21664160 is 6146612.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21664163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 747026 + ... + 747054.

It is an arithmetic number, because the mean of its divisors is an integer number (438984).

Almost surely, 2^21664160 is an apocalyptic number.

21664160 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 21664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31606848).

21664160 is an abundant number, since it is smaller than the sum of its proper divisors (41549536).

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

21664160 is a wasteful number, since it uses less digits than its factorization.

21664160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 21664160 is about 4654.4774142754. The cubic root of 21664160 is about 278.7708022039.

The spelling of 21664160 in words is "twenty-one million, six hundred sixty-four thousand, one hundred sixty".