27641601 has 32 divisors (see below), whose sum is σ = 44858240. Its totient is φ = 16718400.

The previous prime is 27641591. The next prime is 27641617. The reversal of 27641601 is 10614672.

It is not a de Polignac number, because 27641601 - 2¹³ = 27633409 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27641641) 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 31 ways as a sum of consecutive naturals, for example, 20766 + ... + 22056.

It is an arithmetic number, because the mean of its divisors is an integer number (1401820).

Almost surely, 2^27641601 is an apocalyptic number.

It is an amenable number.

27641601 is a deficient number, since it is larger than the sum of its proper divisors (17216639).

27641601 is a wasteful number, since it uses less digits than its factorization.

27641601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 27641601 is about 5257.5280313090. The cubic root of 27641601 is about 302.3577219491.

The spelling of 27641601 in words is "twenty-seven million, six hundred forty-one thousand, six hundred one".