27980160 has 256 divisors, whose sum is σ = 102816000. Its totient is φ = 6414336.

The previous prime is 27980153. The next prime is 27980201. The reversal of 27980160 is 6108972.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474211 + ... + 474269.

It is an arithmetic number, because the mean of its divisors is an integer number (401625).

Almost surely, 2^27980160 is an apocalyptic number.

27980160 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 27980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408000).

27980160 is an abundant number, since it is smaller than the sum of its proper divisors (74835840).

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

27980160 is a wasteful number, since it uses less digits than its factorization.

27980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 27980160 is about 5289.6275861350. The cubic root of 27980160 is about 303.5871589015.

The spelling of 27980160 in words is "twenty-seven million, nine hundred eighty thousand, one hundred sixty".