20782944 has 216 divisors, whose sum is σ = 74338992. Its totient is φ = 5391360.

The previous prime is 20782939. The next prime is 20782969. The reversal of 20782944 is 44928702.

It is a super-2 number, since 2×20782944² = 863861522614272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20782899 and 20782908.

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 35 ways as a sum of consecutive naturals, for example, 340674 + ... + 340734.

It is an arithmetic number, because the mean of its divisors is an integer number (344162).

Almost surely, 2^20782944 is an apocalyptic number.

20782944 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 20782944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37169496).

20782944 is an abundant number, since it is smaller than the sum of its proper divisors (53556048).

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

20782944 is a wasteful number, since it uses less digits than its factorization.

20782944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20782944 is about 4558.8314292152. The cubic root of 20782944 is about 274.9385824275.

The spelling of 20782944 in words is "twenty million, seven hundred eighty-two thousand, nine hundred forty-four".