27755168 has 72 divisors (see below), whose sum is σ = 65729664. Its totient is φ = 11491200.

The previous prime is 27755141. The next prime is 27755171. The reversal of 27755168 is 86155772.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48323 + ... + 48893.

It is an arithmetic number, because the mean of its divisors is an integer number (912912).

Almost surely, 2^27755168 is an apocalyptic number.

27755168 is a gapful number since it is divisible by the number (28) 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 27755168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32864832).

27755168 is an abundant number, since it is smaller than the sum of its proper divisors (37974496).

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

27755168 is a wasteful number, since it uses less digits than its factorization.

27755168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 611 counting only the distinct ones).

The product of its digits is 117600, while the sum is 41.

The square root of 27755168 is about 5268.3173784426. The cubic root of 27755168 is about 302.7712404490.

The spelling of 27755168 in words is "twenty-seven million, seven hundred fifty-five thousand, one hundred sixty-eight".