67108965 has 64 divisors (see below), whose sum is σ = 135475200. Its totient is φ = 27555840.

The previous prime is 67108961. The next prime is 67108981. The reversal of 67108965 is 56980176.

It is not a de Polignac number, because 67108965 - 2² = 67108961 is a prime.

It is a super-2 number, since 2×67108965² = 9007226366742450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67108961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111736 + ... + 112334.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2^67108965 is an apocalyptic number.

It is an amenable number.

67108965 is an abundant number, since it is smaller than the sum of its proper divisors (68366235).

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

67108965 is a wasteful number, since it uses less digits than its factorization.

67108965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 67108965 is about 8192.0061645485. The cubic root of 67108965 is about 406.3748731707.

The spelling of 67108965 in words is "sixty-seven million, one hundred eight thousand, nine hundred sixty-five".