27056340 has 72 divisors (see below), whose sum is σ = 83105568. Its totient is φ = 7124160.

The previous prime is 27056339. The next prime is 27056353. The reversal of 27056340 is 4365072.

It is a happy number.

27056340 is a `hidden beast` number, since 27 + 0 + 5 + 634 + 0 = 666.

It is a super-3 number, since 3×27056340³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14035 + ... + 15845.

It is an arithmetic number, because the mean of its divisors is an integer number (1154244).

Almost surely, 2^27056340 is an apocalyptic number.

27056340 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 27056340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41552784).

27056340 is an abundant number, since it is smaller than the sum of its proper divisors (56049228).

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

27056340 is a wasteful number, since it uses less digits than its factorization.

27056340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 27056340 is about 5201.5709165597. The cubic root of 27056340 is about 300.2085216954.

It can be divided in two parts, 2705 and 6340, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 27056340 in words is "twenty-seven million, fifty-six thousand, three hundred forty".