27730540 has 24 divisors (see below), whose sum is σ = 58387392. Its totient is φ = 11063040.

The previous prime is 27730537. The next prime is 27730543. The reversal of 27730540 is 4503772.

It is an interprime number because it is at equal distance from previous prime (27730537) and next prime (27730543).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27730499 and 27730508.

It is not an unprimeable number, because it can be changed into a prime (27730543) 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, 7012 + ... + 10228.

It is an arithmetic number, because the mean of its divisors is an integer number (2432808).

Almost surely, 2^27730540 is an apocalyptic number.

27730540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27730540 is an abundant number, since it is smaller than the sum of its proper divisors (30656852).

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

27730540 is a wasteful number, since it uses less digits than its factorization.

27730540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 27730540 is about 5265.9794910349. The cubic root of 27730540 is about 302.6816612554.

The spelling of 27730540 in words is "twenty-seven million, seven hundred thirty thousand, five hundred forty".