27768520 has 32 divisors (see below), whose sum is σ = 67286520. Its totient is φ = 10252800.

The previous prime is 27768487. The next prime is 27768523. The reversal of 27768520 is 2586772.

It can be written as a sum of positive squares in 4 ways, for example, as 12574116 + 15194404 = 3546^2 + 3898^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27768520.

It is not an unprimeable number, because it can be changed into a prime (27768523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26181 + ... + 27220.

Almost surely, 2^27768520 is an apocalyptic number.

27768520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27768520 is an abundant number, since it is smaller than the sum of its proper divisors (39518000).

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

27768520 is a wasteful number, since it uses less digits than its factorization.

27768520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53425 (or 53421 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 27768520 is about 5269.5844238422. The cubic root of 27768520 is about 302.8197834030.

The spelling of 27768520 in words is "twenty-seven million, seven hundred sixty-eight thousand, five hundred twenty".