27338080 has 144 divisors (see below), whose sum is σ = 82219536. Its totient is φ = 8494080.

The previous prime is 27338071. The next prime is 27338081. The reversal of 27338080 is 8083372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27338081) 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, 86082 + ... + 86398.

It is an arithmetic number, because the mean of its divisors is an integer number (570969).

Almost surely, 2^27338080 is an apocalyptic number.

27338080 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 27338080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41109768).

27338080 is an abundant number, since it is smaller than the sum of its proper divisors (54881456).

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

27338080 is a wasteful number, since it uses less digits than its factorization.

27338080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 27338080 is about 5228.5829820325. The cubic root of 27338080 is about 301.2469579532.

The spelling of 27338080 in words is "twenty-seven million, three hundred thirty-eight thousand, eighty".