27765936 has 80 divisors (see below), whose sum is σ = 86958720. Its totient is φ = 8412480.

The previous prime is 27765929. The next prime is 27765967. The reversal of 27765936 is 63956772.

It is a junction number, because it is equal to n+sod(n) for n = 27765891 and 27765900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831 + ... + 7673.

It is an arithmetic number, because the mean of its divisors is an integer number (1086984).

Almost surely, 2^27765936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27765936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43479360).

27765936 is an abundant number, since it is smaller than the sum of its proper divisors (59192784).

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

27765936 is a wasteful number, since it uses less digits than its factorization.

27765936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5859 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 27765936 is about 5269.3392375136. The cubic root of 27765936 is about 302.8103901453.

The spelling of 27765936 in words is "twenty-seven million, seven hundred sixty-five thousand, nine hundred thirty-six".