20984768 has 56 divisors (see below), whose sum is σ = 49158144. Its totient is φ = 8697600.

The previous prime is 20984753. The next prime is 20984771. The reversal of 20984768 is 86748902.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13133 + ... + 14643.

It is an arithmetic number, because the mean of its divisors is an integer number (877824).

Almost surely, 2^20984768 is an apocalyptic number.

20984768 is a gapful number since it is divisible by the number (28) 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 20984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579072).

20984768 is an abundant number, since it is smaller than the sum of its proper divisors (28173376).

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

20984768 is a wasteful number, since it uses less digits than its factorization.

20984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 20984768 is about 4580.9134460280. The cubic root of 20984768 is about 275.8256968483.

The spelling of 20984768 in words is "twenty million, nine hundred eighty-four thousand, seven hundred sixty-eight".