27891360 has 144 divisors (see below), whose sum is σ = 108815616. Its totient is φ = 6372864.

The previous prime is 27891349. The next prime is 27891379. The reversal of 27891360 is 6319872.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 8697 + ... + 11463.

It is an arithmetic number, because the mean of its divisors is an integer number (755664).

Almost surely, 2^27891360 is an apocalyptic number.

27891360 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 27891360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54407808).

27891360 is an abundant number, since it is smaller than the sum of its proper divisors (80924256).

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

27891360 is a wasteful number, since it uses less digits than its factorization.

27891360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 27891360 is about 5281.2271301280. The cubic root of 27891360 is about 303.2656559825.

The spelling of 27891360 in words is "twenty-seven million, eight hundred ninety-one thousand, three hundred sixty".