27681030 has 96 divisors (see below), whose sum is σ = 79017120. Its totient is φ = 6681600.

The previous prime is 27681011. The next prime is 27681037. The reversal of 27681030 is 3018672.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27680985 and 27681003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27681037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68830 + ... + 69230.

It is an arithmetic number, because the mean of its divisors is an integer number (823095).

Almost surely, 2^27681030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27681030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39508560).

27681030 is an abundant number, since it is smaller than the sum of its proper divisors (51336090).

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

27681030 is a wasteful number, since it uses less digits than its factorization.

27681030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 483 counting only the distinct ones).

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

The square root of 27681030 is about 5261.2764610881. The cubic root of 27681030 is about 302.5014183846.

The spelling of 27681030 in words is "twenty-seven million, six hundred eighty-one thousand, thirty".