27000 has 64 divisors (see below), whose sum is σ = 93600. Its totient is φ = 7200.

The previous prime is 26993. The next prime is 27011. The reversal of 27000 is 72.

Adding to 27000 its reverse (72), we get a palindrome (27072).

The cubic root of 27000 is 30.

It is a perfect power (a cube), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

27000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5398 + ... + 5402.

2^{27000} is an apocalyptic number.

27000 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 27000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46800).

27000 is an abundant number, since it is smaller than the sum of its proper divisors (66600).

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

27000 is a wasteful number, since it uses less digits than its factorization.

27000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 9.

The square root of 27000 is about 164.3167672515.

The spelling of 27000 in words is "twenty-seven thousand", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 27000

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