20984832 has 220 divisors, whose sum is σ = 71333856. Its totient is φ = 6082560.

The previous prime is 20984827. The next prime is 20984833. The reversal of 20984832 is 23848902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20984833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 912373 + ... + 912395.

Almost surely, 2^20984832 is an apocalyptic number.

20984832 is a gapful number since it is divisible by the number (22) 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 20984832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35666928).

20984832 is an abundant number, since it is smaller than the sum of its proper divisors (50349024).

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

20984832 is a wasteful number, since it uses less digits than its factorization.

20984832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 20984832 is about 4580.9204315290. The cubic root of 20984832 is about 275.8259772553.

The spelling of 20984832 in words is "twenty million, nine hundred eighty-four thousand, eight hundred thirty-two".