20985328 has 120 divisors (see below), whose sum is σ = 53434080. Its totient is φ = 7902720.

The previous prime is 20985319. The next prime is 20985337. The reversal of 20985328 is 82358902.

It is an interprime number because it is at equal distance from previous prime (20985319) and next prime (20985337).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295533 + ... + 295603.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^20985328 is an apocalyptic number.

20985328 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 20985328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26717040).

20985328 is an abundant number, since it is smaller than the sum of its proper divisors (32448752).

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

20985328 is a wasteful number, since it uses less digits than its factorization.

20985328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 20985328 is about 4580.9745688008. The cubic root of 20985328 is about 275.8281503901.

The spelling of 20985328 in words is "twenty million, nine hundred eighty-five thousand, three hundred twenty-eight".