271820 has 12 divisors (see below), whose sum is σ = 570864. Its totient is φ = 108720.

The previous prime is 271811. The next prime is 271829. The reversal of 271820 is 28172.

It is an interprime number because it is at equal distance from previous prime (271811) and next prime (271829).

It is a super-2 number, since 2×271820² = 147772224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 13591 = 271820 / (2 + 7 + 1 + 8 + 2 + 0).

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 271792 and 271801.

It is not an unprimeable number, because it can be changed into a prime (271829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6776 + ... + 6815.

It is an arithmetic number, because the mean of its divisors is an integer number (47572).

2²⁷¹⁸²⁰ is an apocalyptic number.

271820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271820 is an abundant number, since it is smaller than the sum of its proper divisors (299044).

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

271820 is a wasteful number, since it uses less digits than its factorization.

271820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13600 (or 13598 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 271820 is about 521.3635967346. The cubic root of 271820 is about 64.7779404666. Note that the first 3 decimals are identical.

Adding to 271820 its reverse (28172), we get a palindrome (299992).

The spelling of 271820 in words is "two hundred seventy-one thousand, eight hundred twenty".