27927540 has 36 divisors (see below), whose sum is σ = 84714084. Its totient is φ = 7447296.

The previous prime is 27927539. The next prime is 27927547. The reversal of 27927540 is 4572972.

27927540 is a `hidden beast` number, since 27 + 92 + 7 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16353936 + 11573604 = 4044^2 + 3402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27927495 and 27927504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27927547) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 77397 + ... + 77756.

It is an arithmetic number, because the mean of its divisors is an integer number (2353169).

Almost surely, 2^27927540 is an apocalyptic number.

27927540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27927540 is an abundant number, since it is smaller than the sum of its proper divisors (56786544).

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

27927540 is a wasteful number, since it uses less digits than its factorization.

27927540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155168 (or 155163 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 27927540 is about 5284.6513603075. The cubic root of 27927540 is about 303.3967289573.

The spelling of 27927540 in words is "twenty-seven million, nine hundred twenty-seven thousand, five hundred forty".