27118080 has 240 divisors, whose sum is σ = 103413024. Its totient is φ = 6512640.

The previous prime is 27118067. The next prime is 27118109. The reversal of 27118080 is 8081172.

27118080 = 675² + 676² + ... + 729².

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253387 + ... + 253493.

Almost surely, 2^27118080 is an apocalyptic number.

27118080 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 27118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51706512).

27118080 is an abundant number, since it is smaller than the sum of its proper divisors (76294944).

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

27118080 is a wasteful number, since it uses less digits than its factorization.

27118080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 27118080 is about 5207.5022803644. The cubic root of 27118080 is about 300.4366973430.

The spelling of 27118080 in words is "twenty-seven million, one hundred eighteen thousand, eighty".