27720560 has 80 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 9331968.

The previous prime is 27720533. The next prime is 27720571. The reversal of 27720560 is 6502772.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32621 + ... + 33459.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^27720560 is an apocalyptic number.

27720560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27720560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

27720560 is an abundant number, since it is smaller than the sum of its proper divisors (47274640).

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

27720560 is a wasteful number, since it uses less digits than its factorization.

27720560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 27720560 is about 5265.0318137690. The cubic root of 27720560 is about 302.6453459939.

The spelling of 27720560 in words is "twenty-seven million, seven hundred twenty thousand, five hundred sixty".