27846080 has 56 divisors (see below), whose sum is σ = 66824352. Its totient is φ = 11052032.

The previous prime is 27846079. The next prime is 27846097. The reversal of 27846080 is 8064872.

It is a self number, because there is not a number n which added to its sum of digits gives 27846080.

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 7 ways as a sum of consecutive naturals, for example, 55109 + ... + 55611.

It is an arithmetic number, because the mean of its divisors is an integer number (1193292).

Almost surely, 2^27846080 is an apocalyptic number.

27846080 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 27846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33412176).

27846080 is an abundant number, since it is smaller than the sum of its proper divisors (38978272).

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

27846080 is a wasteful number, since it uses less digits than its factorization.

27846080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 27846080 is about 5276.9385063690. The cubic root of 27846080 is about 303.1014557120.

The spelling of 27846080 in words is "twenty-seven million, eight hundred forty-six thousand, eighty".