27765968 has 40 divisors (see below), whose sum is σ = 56567808. Its totient is φ = 13177472.

The previous prime is 27765967. The next prime is 27765971. The reversal of 27765968 is 86956772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27765967) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 72305 + ... + 72687.

Almost surely, 2^27765968 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 27765968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28283904).

27765968 is an abundant number, since it is smaller than the sum of its proper divisors (28801840).

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

27765968 is a wasteful number, since it uses less digits than its factorization.

27765968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 50.

The square root of 27765968 is about 5269.3422739465. The cubic root of 27765968 is about 302.8105064740.

The spelling of 27765968 in words is "twenty-seven million, seven hundred sixty-five thousand, nine hundred sixty-eight".