27009000 has 96 divisors (see below), whose sum is σ = 91320840. Its totient is φ = 7200000.

The previous prime is 27008987. The next prime is 27009007. The reversal of 27009000 is 90072.

It can be written as a sum of positive squares in 4 ways, for example, as 8398404 + 18610596 = 2898^2 + 4314^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (27009007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7500 + ... + 10500.

Almost surely, 2^27009000 is an apocalyptic number.

27009000 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 27009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45660420).

27009000 is an abundant number, since it is smaller than the sum of its proper divisors (64311840).

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

27009000 is a wasteful number, since it uses less digits than its factorization.

27009000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 27009000 is about 5197.0183759537. The cubic root of 27009000 is about 300.0333296303.

Adding to 27009000 its reverse (90072), we get a palindrome (27099072).

It can be divided in two parts, 2700 and 9000, that multiplied together give a 5-th power (24300000 = 30⁵).

The spelling of 27009000 in words is "twenty-seven million, nine thousand".