27755136 has 80 divisors (see below), whose sum is σ = 82629690. Its totient is φ = 9248256.

The previous prime is 27755131. The next prime is 27755141. The reversal of 27755136 is 63155772.

27755136 is a `hidden beast` number, since 2 + 77 + 551 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (27755131) and next prime (27755141).

It can be written as a sum of positive squares in only one way, i.e., 27625536 + 129600 = 5256^2 + 360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27755136.

It is not an unprimeable number, because it can be changed into a prime (27755131) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9030 + ... + 11706.

Almost surely, 2^27755136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27755136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41314845).

27755136 is an abundant number, since it is smaller than the sum of its proper divisors (54874554).

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

27755136 is an equidigital number, since it uses as much as digits as its factorization.

27755136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2682 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 27755136 is about 5268.3143414189. The cubic root of 27755136 is about 302.7711240901.

The spelling of 27755136 in words is "twenty-seven million, seven hundred fifty-five thousand, one hundred thirty-six".