27966580 has 12 divisors (see below), whose sum is σ = 58729860. Its totient is φ = 11186624.

The previous prime is 27966577. The next prime is 27966583. The reversal of 27966580 is 8566972.

It is an interprime number because it is at equal distance from previous prime (27966577) and next prime (27966583).

It can be written as a sum of positive squares in 2 ways, for example, as 20848356 + 7118224 = 4566^2 + 2668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27966583) 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, 699145 + ... + 699184.

It is an arithmetic number, because the mean of its divisors is an integer number (4894155).

Almost surely, 2^27966580 is an apocalyptic number.

27966580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27966580 is an abundant number, since it is smaller than the sum of its proper divisors (30763280).

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

27966580 is a wasteful number, since it uses less digits than its factorization.

27966580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398338 (or 1398336 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 27966580 is about 5288.3437861017. The cubic root of 27966580 is about 303.5380362282.

The spelling of 27966580 in words is "twenty-seven million, nine hundred sixty-six thousand, five hundred eighty".