27965980 has 48 divisors (see below), whose sum is σ = 68402880. Its totient is φ = 9404928.

The previous prime is 27965957. The next prime is 27965981. The reversal of 27965980 is 8956972.

It is a self number, because there is not a number n which added to its sum of digits gives 27965980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27965981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5536 + ... + 9304.

It is an arithmetic number, because the mean of its divisors is an integer number (1425060).

Almost surely, 2^27965980 is an apocalyptic number.

27965980 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 27965980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34201440).

27965980 is an abundant number, since it is smaller than the sum of its proper divisors (40436900).

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

27965980 is a wasteful number, since it uses less digits than its factorization.

27965980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 27965980 is about 5288.2870572615. The cubic root of 27965980 is about 303.5358654929.

The spelling of 27965980 in words is "twenty-seven million, nine hundred sixty-five thousand, nine hundred eighty".