27681120 has 144 divisors (see below), whose sum is σ = 96707520. Its totient is φ = 7206912.

The previous prime is 27681113. The next prime is 27681133. The reversal of 27681120 is 2118672.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 67476 + ... + 67884.

It is an arithmetic number, because the mean of its divisors is an integer number (671580).

Almost surely, 2^27681120 is an apocalyptic number.

27681120 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 27681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48353760).

27681120 is an abundant number, since it is smaller than the sum of its proper divisors (69026400).

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

27681120 is a wasteful number, since it uses less digits than its factorization.

27681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 27681120 is about 5261.2850141387. The cubic root of 27681120 is about 302.5017462277.

Adding to 27681120 its reverse (2118672), we get a palindrome (29799792).

The spelling of 27681120 in words is "twenty-seven million, six hundred eighty-one thousand, one hundred twenty".