27820560 has 80 divisors (see below), whose sum is σ = 90797760. Its totient is φ = 7027200.

The previous prime is 27820543. The next prime is 27820567. The reversal of 27820560 is 6502872.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (27820567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1510 + ... + 7610.

It is an arithmetic number, because the mean of its divisors is an integer number (1134972).

Almost surely, 2^27820560 is an apocalyptic number.

27820560 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 27820560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45398880).

27820560 is an abundant number, since it is smaller than the sum of its proper divisors (62977200).

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

27820560 is a wasteful number, since it uses less digits than its factorization.

27820560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 27820560 is about 5274.5198833638. The cubic root of 27820560 is about 303.0088332991.

The spelling of 27820560 in words is "twenty-seven million, eight hundred twenty thousand, five hundred sixty".