271620 has 48 divisors (see below), whose sum is σ = 846720. Its totient is φ = 72288.

The previous prime is 271619. The next prime is 271637. The reversal of 271620 is 26172.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 271593 and 271602.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 289 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2²⁷¹⁶²⁰ is an apocalyptic number.

271620 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 271620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

271620 is an abundant number, since it is smaller than the sum of its proper divisors (575100).

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

271620 is a wasteful number, since it uses less digits than its factorization.

271620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 271620 is about 521.1717567175. The cubic root of 271620 is about 64.7620491085.

Adding to 271620 its reverse (26172), we get a palindrome (297792).

The spelling of 271620 in words is "two hundred seventy-one thousand, six hundred twenty".