21738864 has 160 divisors (see below), whose sum is σ = 69995520. Its totient is φ = 5677056.

The previous prime is 21738853. The next prime is 21738877. The reversal of 21738864 is 46883712.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 224064 + ... + 224160.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 2^21738864 is an apocalyptic number.

21738864 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 21738864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34997760).

21738864 is an abundant number, since it is smaller than the sum of its proper divisors (48256656).

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

21738864 is a wasteful number, since it uses less digits than its factorization.

21738864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

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

The square root of 21738864 is about 4662.4954691667. The cubic root of 21738864 is about 279.0908608113.

The spelling of 21738864 in words is "twenty-one million, seven hundred thirty-eight thousand, eight hundred sixty-four".