27381040 has 60 divisors (see below), whose sum is σ = 66651984. Its totient is φ = 10460032.

The previous prime is 27381031. The next prime is 27381043. The reversal of 27381040 is 4018372.

It is a junction number, because it is equal to n+sod(n) for n = 27380996 and 27381014.

It is not an unprimeable number, because it can be changed into a prime (27381043) 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 11 ways as a sum of consecutive naturals, for example, 41997 + ... + 42643.

Almost surely, 2^27381040 is an apocalyptic number.

27381040 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 27381040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33325992).

27381040 is an abundant number, since it is smaller than the sum of its proper divisors (39270944).

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

27381040 is a wasteful number, since it uses less digits than its factorization.

27381040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 27381040 is about 5232.6895570060. The cubic root of 27381040 is about 301.4046719829.

The spelling of 27381040 in words is "twenty-seven million, three hundred eighty-one thousand, forty".