27680641 has 8 divisors (see below), whose sum is σ = 29790504. Its totient is φ = 25624320.

The previous prime is 27680621. The next prime is 27680657. The reversal of 27680641 is 14608672.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 27196225 = 696^2 + 5215^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27680641 - 2⁹ = 27680129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27680597 and 27680606.

It is not an unprimeable number, because it can be changed into a prime (27680621) 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 7 ways as a sum of consecutive naturals, for example, 12310 + ... + 14383.

It is an arithmetic number, because the mean of its divisors is an integer number (3723813).

Almost surely, 2^27680641 is an apocalyptic number.

27680641 is the 3328-th centered pentagonal number.

It is an amenable number.

27680641 is a deficient number, since it is larger than the sum of its proper divisors (2109863).

27680641 is a wasteful number, since it uses less digits than its factorization.

27680641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26771.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 27680641 is about 5261.2394927431. The cubic root of 27680641 is about 302.5000013660.

The spelling of 27680641 in words is "twenty-seven million, six hundred eighty thousand, six hundred forty-one".