67340961 has 24 divisors (see below), whose sum is σ = 103488840. Its totient is φ = 42049536.

The previous prime is 67340953. The next prime is 67341013. The reversal of 67340961 is 16904376.

It can be written as a sum of positive squares in 4 ways, for example, as 8910225 + 58430736 = 2985^2 + 7644^2 .

It is not a de Polignac number, because 67340961 - 2³ = 67340953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (67345961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34705 + ... + 36593.

It is an arithmetic number, because the mean of its divisors is an integer number (4312035).

Almost surely, 2^67340961 is an apocalyptic number.

It is an amenable number.

67340961 is a deficient number, since it is larger than the sum of its proper divisors (36147879).

67340961 is a wasteful number, since it uses less digits than its factorization.

67340961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 67340961 is about 8206.1538493986. The cubic root of 67340961 is about 406.8426145233.

The spelling of 67340961 in words is "sixty-seven million, three hundred forty thousand, nine hundred sixty-one".