20151648 has 72 divisors (see below), whose sum is σ = 62525736. Its totient is φ = 6105600.

The previous prime is 20151619. The next prime is 20151667. The reversal of 20151648 is 84615102.

20151648 is a `hidden beast` number, since 2 + 0 + 15 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 13 + ... + 6348.

It is an arithmetic number, because the mean of its divisors is an integer number (868413).

Almost surely, 2^20151648 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 20151648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31262868).

20151648 is an abundant number, since it is smaller than the sum of its proper divisors (42374088).

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

20151648 is a wasteful number, since it uses less digits than its factorization.

20151648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 20151648 is about 4489.0586986583. The cubic root of 20151648 is about 272.1260949379.

It can be divided in two parts, 2015 and 1648, that added together give a palindrome (3663).

The spelling of 20151648 in words is "twenty million, one hundred fifty-one thousand, six hundred forty-eight".