64000001 has 8 divisors (see below), whose sum is σ = 69100584. Its totient is φ = 58924800.

The previous prime is 63999979. The next prime is 64000031. The reversal of 64000001 is 10000046.

It is a Cunningham number, because it is equal to 20⁶+1.

It can be written as a sum of positive squares in 4 ways, for example, as 5400976 + 58599025 = 2324^2 + 7655^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 64000001 - 2⁶ = 63999937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (64000031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 926 + ... + 11351.

It is an arithmetic number, because the mean of its divisors is an integer number (8637573).

Almost surely, 2^64000001 is an apocalyptic number.

It is an amenable number.

64000001 is a deficient number, since it is larger than the sum of its proper divisors (5100583).

64000001 is a wasteful number, since it uses less digits than its factorization.

64000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12691.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 64000001 is about 8000.0000625000. Note that the first 4 decimals coincide. The cubic root of 64000001 is about 400.0000020833. Note that the first 5 decimals are identical.

Adding to 64000001 its reverse (10000046), we get a palindrome (74000047).

The spelling of 64000001 in words is "sixty-four million, one", and thus it is an aban number.