27338240 has 80 divisors (see below), whose sum is σ = 67026960. Its totient is φ = 10690560.

The previous prime is 27338231. The next prime is 27338279. The reversal of 27338240 is 4283372.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150950 + ... + 151130.

It is an arithmetic number, because the mean of its divisors is an integer number (837837).

Almost surely, 2^27338240 is an apocalyptic number.

27338240 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 27338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513480).

27338240 is an abundant number, since it is smaller than the sum of its proper divisors (39688720).

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

27338240 is an equidigital number, since it uses as much as digits as its factorization.

27338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 27338240 is about 5228.5982825228. The cubic root of 27338240 is about 301.2475456490.

The spelling of 27338240 in words is "twenty-seven million, three hundred thirty-eight thousand, two hundred forty".