271920 has 80 divisors (see below), whose sum is σ = 928512. Its totient is φ = 65280.

The previous prime is 271919. The next prime is 271927. The reversal of 271920 is 29172.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (271927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2589 + ... + 2691.

2²⁷¹⁹²⁰ is an apocalyptic number.

271920 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 271920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464256).

271920 is an abundant number, since it is smaller than the sum of its proper divisors (656592).

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

271920 is a wasteful number, since it uses less digits than its factorization.

271920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 271920 is about 521.4594902770. The cubic root of 271920 is about 64.7858832227.

The spelling of 271920 in words is "two hundred seventy-one thousand, nine hundred twenty".