20864448 has 168 divisors, whose sum is σ = 67757040. Its totient is φ = 6082560.

The previous prime is 20864429. The next prime is 20864477. The reversal of 20864448 is 84446802.

20864448 is a `hidden beast` number, since 2 + 0 + 8 + 644 + 4 + 8 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 234388 + ... + 234476.

Almost surely, 2^20864448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33878520).

20864448 is an abundant number, since it is smaller than the sum of its proper divisors (46892592).

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

20864448 is a wasteful number, since it uses less digits than its factorization.

20864448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 20864448 is about 4567.7618151563. The cubic root of 20864448 is about 275.2975204231.

It can be divided in two parts, 20864 and 448, that added together give a palindrome (21312).

The spelling of 20864448 in words is "twenty million, eight hundred sixty-four thousand, four hundred forty-eight".