20727648 has 36 divisors (see below), whose sum is σ = 58945068. Its totient is φ = 6909120.

The previous prime is 20727647. The next prime is 20727653. The reversal of 20727648 is 84672702.

20727648 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 7 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×20727648² = 859270783223808, which contains 22 as substring.

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 (20727643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35698 + ... + 36273.

It is an arithmetic number, because the mean of its divisors is an integer number (1637363).

Almost surely, 2^20727648 is an apocalyptic number.

It is an amenable number.

20727648 is an abundant number, since it is smaller than the sum of its proper divisors (38217420).

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

20727648 is a wasteful number, since it uses less digits than its factorization.

20727648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71987 (or 71976 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 20727648 is about 4552.7626777595. The cubic root of 20727648 is about 274.6945280228.

The spelling of 20727648 in words is "twenty million, seven hundred twenty-seven thousand, six hundred forty-eight".