67008601 has 16 divisors (see below), whose sum is σ = 74833920. Its totient is φ = 59487120.

The previous prime is 67008581. The next prime is 67008619. The reversal of 67008601 is 10680076.

It is not a de Polignac number, because 67008601 - 2¹⁵ = 66975833 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 67008601.

It is not an unprimeable number, because it can be changed into a prime (67008301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144496 + ... + 144958.

It is an arithmetic number, because the mean of its divisors is an integer number (4677120).

Almost surely, 2^67008601 is an apocalyptic number.

It is an amenable number.

67008601 is a deficient number, since it is larger than the sum of its proper divisors (7825319).

67008601 is a wasteful number, since it uses less digits than its factorization.

67008601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 67008601 is about 8185.8781447075. The cubic root of 67008601 is about 406.1721890896.

Adding to 67008601 its reverse (10680076), we get a palindrome (77688677).

The spelling of 67008601 in words is "sixty-seven million, eight thousand, six hundred one".