27671340 has 48 divisors (see below), whose sum is σ = 77720832. Its totient is φ = 7356096.

The previous prime is 27671339. The next prime is 27671341. The reversal of 27671340 is 4317672.

It is an interprime number because it is at equal distance from previous prime (27671339) and next prime (27671341).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27671298 and 27671307.

It is not an unprimeable number, because it can be changed into a prime (27671341) 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 15 ways as a sum of consecutive naturals, for example, 28747 + ... + 29693.

It is an arithmetic number, because the mean of its divisors is an integer number (1619184).

Almost surely, 2^27671340 is an apocalyptic number.

27671340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27671340 is an abundant number, since it is smaller than the sum of its proper divisors (50049492).

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

27671340 is a wasteful number, since it uses less digits than its factorization.

27671340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 27671340 is about 5260.3555012946. The cubic root of 27671340 is about 302.4661164607.

The spelling of 27671340 in words is "twenty-seven million, six hundred seventy-one thousand, three hundred forty".