27811836 has 144 divisors (see below), whose sum is σ = 82188288. Its totient is φ = 8164800.

The previous prime is 27811831. The next prime is 27811859. The reversal of 27811836 is 63811872.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27811836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27811831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391681 + ... + 391751.

It is an arithmetic number, because the mean of its divisors is an integer number (570752).

Almost surely, 2^27811836 is an apocalyptic number.

27811836 is a gapful number since it is divisible by the number (26) 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 27811836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41094144).

27811836 is an abundant number, since it is smaller than the sum of its proper divisors (54376452).

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

27811836 is a wasteful number, since it uses less digits than its factorization.

27811836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 27811836 is about 5273.6928238190. The cubic root of 27811836 is about 302.9771573800.

Adding to 27811836 its sum of digits (36), we get a palindrome (27811872).

The spelling of 27811836 in words is "twenty-seven million, eight hundred eleven thousand, eight hundred thirty-six".