271632 has 20 divisors (see below), whose sum is σ = 701840. Its totient is φ = 90528.

The previous prime is 271619. The next prime is 271637. The reversal of 271632 is 236172.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 271599 and 271608.

It is not an unprimeable number, because it can be changed into a prime (271637) by changing a digit.

271632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2782 + ... + 2877.

It is an arithmetic number, because the mean of its divisors is an integer number (35092).

2²⁷¹⁶³² is an apocalyptic number.

It is an amenable number.

271632 is an abundant number, since it is smaller than the sum of its proper divisors (430208).

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

271632 is a wasteful number, since it uses less digits than its factorization.

271632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 5664 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 271632 is about 521.1832691098. The cubic root of 271632 is about 64.7630028100.

It can be divided in two parts, 271 and 632, that added together give a triangular number (903 = T₄₂).

The spelling of 271632 in words is "two hundred seventy-one thousand, six hundred thirty-two".