67338641 has 16 divisors (see below), whose sum is σ = 74403840. Its totient is φ = 60659280.

The previous prime is 67338617. The next prime is 67338643. The reversal of 67338641 is 14683376.

It is not a de Polignac number, because 67338641 - 2¹⁸ = 67076497 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 67338595 and 67338604.

It is not an unprimeable number, because it can be changed into a prime (67338643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97106 + ... + 97796.

It is an arithmetic number, because the mean of its divisors is an integer number (4650240).

Almost surely, 2^67338641 is an apocalyptic number.

It is an amenable number.

67338641 is a deficient number, since it is larger than the sum of its proper divisors (7065199).

67338641 is a wasteful number, since it uses less digits than its factorization.

67338641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956.

The product of its digits is 72576, while the sum is 38.

The square root of 67338641 is about 8206.0124908508. The cubic root of 67338641 is about 406.8379423510.

The spelling of 67338641 in words is "sixty-seven million, three hundred thirty-eight thousand, six hundred forty-one".