27920960 has 28 divisors (see below), whose sum is σ = 66487548. Its totient is φ = 11168256.

The previous prime is 27920941. The next prime is 27920969. The reversal of 27920960 is 6902972.

It can be written as a sum of positive squares in 2 ways, for example, as 7054336 + 20866624 = 2656^2 + 4568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27920960.

It is not an unprimeable number, because it can be changed into a prime (27920969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43307 + ... + 43946.

Almost surely, 2^27920960 is an apocalyptic number.

27920960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27920960 is an abundant number, since it is smaller than the sum of its proper divisors (38566588).

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

27920960 is an equidigital number, since it uses as much as digits as its factorization.

27920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87270 (or 87260 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 27920960 is about 5284.0287660080. The cubic root of 27920960 is about 303.3728993459.

The spelling of 27920960 in words is "twenty-seven million, nine hundred twenty thousand, nine hundred sixty".