271648 has 24 divisors (see below), whose sum is σ = 576828. Its totient is φ = 125184.

The previous prime is 271639. The next prime is 271651. The reversal of 271648 is 846172.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 29584 = 492^2 + 172^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2¹³ + 7 + 6⁴ + 1 + 4⁹ + 8 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 90 + ... + 742.

2²⁷¹⁶⁴⁸ 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 271648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288414).

271648 is an abundant number, since it is smaller than the sum of its proper divisors (305180).

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

271648 is a wasteful number, since it uses less digits than its factorization.

271648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 271648 is about 521.1986185707. The cubic root of 271648 is about 64.7642743682.

It can be divided in two parts, 27164 and 8, that added together give a palindrome (27172).

The spelling of 271648 in words is "two hundred seventy-one thousand, six hundred forty-eight".