67108865 has 16 divisors (see below), whose sum is σ = 82623888. Its totient is φ = 52306176.

The previous prime is 67108859. The next prime is 67108879. The reversal of 67108865 is 56880176.

67108865 is nontrivially palindromic in base 2 and base 4.

It is a Cunningham number, because it is equal to 2²⁶+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 67108864 = 1^2 + 8192^2 .

It is a cyclic number.

It is not a de Polignac number, because 67108865 - 2¹² = 67104769 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40799 + ... + 42411.

It is an arithmetic number, because the mean of its divisors is an integer number (5163993).

It is a Proth number, since it is equal to 1 ⋅ 2²⁶ + 1 and 1 < 2²⁶.

Almost surely, 2^67108865 is an apocalyptic number.

It is an amenable number.

67108865 is a deficient number, since it is larger than the sum of its proper divisors (15515023).

67108865 is a wasteful number, since it uses less digits than its factorization.

67108865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828.

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 67108865 is about 8192.0000610352. Note that the first 4 decimals coincide. The cubic root of 67108865 is about 406.3746713223.

The spelling of 67108865 in words is "sixty-seven million, one hundred eight thousand, eight hundred sixty-five".