271042560 has 288 divisors, whose sum is σ = 1000392120. Its totient is φ = 67633152.

The previous prime is 271042529. The next prime is 271042567. The reversal of 271042560 is 65240172.

It can be written as a sum of positive squares in 4 ways, for example, as 269485056 + 1557504 = 16416^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (271042567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566634 + ... + 1566806.

Almost surely, 2^271042560 is an apocalyptic number.

271042560 is a gapful number since it is divisible by the number (20) 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 271042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500196060).

271042560 is an abundant number, since it is smaller than the sum of its proper divisors (729349560).

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

271042560 is a wasteful number, since it uses less digits than its factorization.

271042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 271042560 is about 16463.3702503467. The cubic root of 271042560 is about 647.1612376024.

The spelling of 271042560 in words is "two hundred seventy-one million, forty-two thousand, five hundred sixty".