67010561 has 16 divisors (see below), whose sum is σ = 72230400. Its totient is φ = 62025600.

The previous prime is 67010551. The next prime is 67010563. The reversal of 67010561 is 16501076.

It is a cyclic number.

It is not a de Polignac number, because 67010561 - 2¹⁴ = 66994177 is a prime.

It is an alternating number because its digits alternate between even and odd.

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 67010561.

It is not an unprimeable number, because it can be changed into a prime (67010563) 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 15 ways as a sum of consecutive naturals, for example, 117485 + ... + 118053.

It is an arithmetic number, because the mean of its divisors is an integer number (4514400).

It is a Proth number, since it is equal to 2045 ⋅ 2¹⁵ + 1 and 2045 < 2¹⁵.

Almost surely, 2^67010561 is an apocalyptic number.

It is an amenable number.

67010561 is a deficient number, since it is larger than the sum of its proper divisors (5219839).

67010561 is a wasteful number, since it uses less digits than its factorization.

67010561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 67010561 is about 8185.9978622035. The cubic root of 67010561 is about 406.1761492266.

The spelling of 67010561 in words is "sixty-seven million, ten thousand, five hundred sixty-one".