271890 has 64 divisors (see below), whose sum is σ = 777600. Its totient is φ = 67392.

The previous prime is 271879. The next prime is 271897. The reversal of 271890 is 98172.

271890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (271897) by changing a digit.

271890 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5104 + ... + 5156.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2²⁷¹⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388800).

271890 is an abundant number, since it is smaller than the sum of its proper divisors (505710).

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

271890 is a wasteful number, since it uses less digits than its factorization.

271890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 271890 is about 521.4307240660. The cubic root of 271890 is about 64.7835006004.

The spelling of 271890 in words is "two hundred seventy-one thousand, eight hundred ninety".