20217680 has 80 divisors (see below), whose sum is σ = 54520320. Its totient is φ = 6829056.

The previous prime is 20217679. The next prime is 20217733. The reversal of 20217680 is 8671202.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 44012 + ... + 44468.

It is an arithmetic number, because the mean of its divisors is an integer number (681504).

Almost surely, 2^20217680 is an apocalyptic number.

20217680 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 20217680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27260160).

20217680 is an abundant number, since it is smaller than the sum of its proper divisors (34302640).

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

20217680 is a wasteful number, since it uses less digits than its factorization.

20217680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 20217680 is about 4496.4074548466. The cubic root of 20217680 is about 272.4230009982.

Adding to 20217680 its reverse (8671202), we get a palindrome (28888882).

The spelling of 20217680 in words is "twenty million, two hundred seventeen thousand, six hundred eighty".