27330240 has 224 divisors, whose sum is σ = 102412800. Its totient is φ = 6171648.

The previous prime is 27330217. The next prime is 27330253. The reversal of 27330240 is 4203372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329239 + ... + 329321.

It is an arithmetic number, because the mean of its divisors is an integer number (457200).

Almost surely, 2^27330240 is an apocalyptic number.

27330240 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 27330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51206400).

27330240 is an abundant number, since it is smaller than the sum of its proper divisors (75082560).

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

27330240 is an equidigital number, since it uses as much as digits as its factorization.

27330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 27330240 is about 5227.8332031541. The cubic root of 27330240 is about 301.2181580527.

The spelling of 27330240 in words is "twenty-seven million, three hundred thirty thousand, two hundred forty".