27968007 has 8 divisors (see below), whose sum is σ = 37413376. Its totient is φ = 18583992.

The previous prime is 27967987. The next prime is 27968033. The reversal of 27968007 is 70086972.

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

It is not a de Polignac number, because 27968007 - 2¹² = 27963911 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27960007) 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 7 ways as a sum of consecutive naturals, for example, 14263 + ... + 16104.

It is an arithmetic number, because the mean of its divisors is an integer number (4676672).

Almost surely, 2^27968007 is an apocalyptic number.

27968007 is a deficient number, since it is larger than the sum of its proper divisors (9445369).

27968007 is a wasteful number, since it uses less digits than its factorization.

27968007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30677.

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 27968007 is about 5288.4787037484. The cubic root of 27968007 is about 303.5431988355.

It can be divided in two parts, 279 and 68007, that added together give a palindrome (68286).

The spelling of 27968007 in words is "twenty-seven million, nine hundred sixty-eight thousand, seven".