27131820 has 96 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 6746880.

The previous prime is 27131809. The next prime is 27131821. The reversal of 27131820 is 2813172.

It is a super-2 number, since 2×27131820² = 1472271313024800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27131821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53689 + ... + 54191.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 2^27131820 is an apocalyptic number.

27131820 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 27131820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

27131820 is an abundant number, since it is smaller than the sum of its proper divisors (54153300).

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

27131820 is a wasteful number, since it uses less digits than its factorization.

27131820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 27131820 is about 5208.8213638020. The cubic root of 27131820 is about 300.4874298338.

Adding to 27131820 its reverse (2813172), we get a palindrome (29944992).

The spelling of 27131820 in words is "twenty-seven million, one hundred thirty-one thousand, eight hundred twenty".