271980 has 36 divisors (see below), whose sum is σ = 825552. Its totient is φ = 72480.

The previous prime is 271969. The next prime is 271981. The reversal of 271980 is 89172.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (271981) by changing a digit.

271980 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 11 ways as a sum of consecutive naturals, for example, 576 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2²⁷¹⁹⁸⁰ is an apocalyptic number.

271980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271980 is an abundant number, since it is smaller than the sum of its proper divisors (553572).

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

271980 is a wasteful number, since it uses less digits than its factorization.

271980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1521 counting only the distinct ones).

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

The square root of 271980 is about 521.5170179390. The cubic root of 271980 is about 64.7906479416.

Subtracting from 271980 its sum of digits (27), we obtain a triangular number (271953 = T₇₃₇).

The spelling of 271980 in words is "two hundred seventy-one thousand, nine hundred eighty".