27942560 has 48 divisors (see below), whose sum is σ = 69904296. Its totient is φ = 10518528.

The previous prime is 27942557. The next prime is 27942583. The reversal of 27942560 is 6524972.

It can be written as a sum of positive squares in 4 ways, for example, as 22391824 + 5550736 = 4732^2 + 2356^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27942560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2417 + ... + 7856.

Almost surely, 2^27942560 is an apocalyptic number.

27942560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27942560 is an abundant number, since it is smaller than the sum of its proper divisors (41961736).

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

27942560 is a wasteful number, since it uses less digits than its factorization.

27942560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10305 (or 10297 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 27942560 is about 5286.0722658700. The cubic root of 27942560 is about 303.4511101901.

The spelling of 27942560 in words is "twenty-seven million, nine hundred forty-two thousand, five hundred sixty".