27661320 has 48 divisors (see below), whose sum is σ = 89900460. Its totient is φ = 7376256.

The previous prime is 27661313. The next prime is 27661343. The reversal of 27661320 is 2316672.

It is a happy number.

27661320 is a `hidden beast` number, since 27 + 6 + 613 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27436644 + 224676 = 5238^2 + 474^2 .

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, 38059 + ... + 38778.

Almost surely, 2^27661320 is an apocalyptic number.

27661320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27661320 is an abundant number, since it is smaller than the sum of its proper divisors (62239140).

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

27661320 is a wasteful number, since it uses less digits than its factorization.

27661320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76854 (or 76847 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 27661320 is about 5259.4030079468. The cubic root of 27661320 is about 302.4296036358.

Adding to 27661320 its reverse (2316672), we get a palindrome (29977992).

The spelling of 27661320 in words is "twenty-seven million, six hundred sixty-one thousand, three hundred twenty".