27740480 has 28 divisors (see below), whose sum is σ = 66057780. Its totient is φ = 11096064.

The previous prime is 27740473. The next prime is 27740497. The reversal of 27740480 is 8404772.

It can be written as a sum of positive squares in 2 ways, for example, as 5234944 + 22505536 = 2288^2 + 4744^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43025 + ... + 43664.

Almost surely, 2^27740480 is an apocalyptic number.

27740480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27740480 is an abundant number, since it is smaller than the sum of its proper divisors (38317300).

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

27740480 is an equidigital number, since it uses as much as digits as its factorization.

27740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86706 (or 86696 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 27740480 is about 5266.9232005033. The cubic root of 27740480 is about 302.7178223051.

The spelling of 27740480 in words is "twenty-seven million, seven hundred forty thousand, four hundred eighty".