67968001 has 4 divisors (see below), whose sum is σ = 69805012. Its totient is φ = 66130992.

The previous prime is 67967983. The next prime is 67968007. The reversal of 67968001 is 10086976.

67968001 is nontrivially palindromic in base 6.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 34339600 + 33628401 = 5860^2 + 5799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-67968001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37), and also a Moran number because the ratio is a prime number: 1836973 = 67968001 / (6 + 7 + 9 + 6 + 8 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67968007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 918450 + ... + 918523.

It is an arithmetic number, because the mean of its divisors is an integer number (17451253).

Almost surely, 2^67968001 is an apocalyptic number.

It is an amenable number.

67968001 is a deficient number, since it is larger than the sum of its proper divisors (1837011).

67968001 is a wasteful number, since it uses less digits than its factorization.

67968001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837010.

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 67968001 is about 8244.2707985607. The cubic root of 67968001 is about 408.1014761849.

The spelling of 67968001 in words is "sixty-seven million, nine hundred sixty-eight thousand, one".