27661140 has 72 divisors (see below), whose sum is σ = 90367368. Its totient is φ = 6808320.

The previous prime is 27661133. The next prime is 27661141. The reversal of 27661140 is 4116672.

27661140 is a `hidden beast` number, since 2 + 7 + 6 + 611 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 161604 + 27499536 = 402^2 + 5244^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27661141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3571 + ... + 8250.

Almost surely, 2^27661140 is an apocalyptic number.

27661140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27661140 is an abundant number, since it is smaller than the sum of its proper divisors (62706228).

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

27661140 is a wasteful number, since it uses less digits than its factorization.

27661140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11849 (or 11844 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 27661140 is about 5259.3858957106. The cubic root of 27661140 is about 302.4289476362.

It can be divided in two parts, 276 and 61140, that added together give a palindrome (61416).

The spelling of 27661140 in words is "twenty-seven million, six hundred sixty-one thousand, one hundred forty".