271081120 has 48 divisors (see below), whose sum is σ = 649230120. Its totient is φ = 106942464.

The previous prime is 271081103. The next prime is 271081123. The reversal of 271081120 is 21180172.

It can be written as a sum of positive squares in 4 ways, for example, as 246992656 + 24088464 = 15716^2 + 4908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 271081091 and 271081100.

It is not an unprimeable number, because it can be changed into a prime (271081123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76 + ... + 23284.

Almost surely, 2^271081120 is an apocalyptic number.

271081120 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 271081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324615060).

271081120 is an abundant number, since it is smaller than the sum of its proper divisors (378149000).

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

271081120 is a wasteful number, since it uses less digits than its factorization.

271081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23297 (or 23289 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 271081120 is about 16464.5412933370. The cubic root of 271081120 is about 647.1919257153.

The spelling of 271081120 in words is "two hundred seventy-one million, eighty-one thousand, one hundred twenty".