64016001 has 45 divisors (see below), whose sum is σ = 112124529. Its totient is φ = 36292536.

The previous prime is 64015993. The next prime is 64016011. The reversal of 64016001 is 10061046.

64016001 = 1³ + 2³ + ... + 126³.

The square root of 64016001 is 8001.

It is a perfect power (a square), and thus also a powerful number.

64016001 is a `hidden beast` number, since 64 + 0 + 1 + 600 + 1 = 666.

It is not a de Polignac number, because 64016001 - 2³ = 64015993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (64016011) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 504000 + ... + 504126.

Almost surely, 2^64016001 is an apocalyptic number.

64016001 is the 8001-st square number.

64016001 is the 4001-st centered octagonal number.

It is an amenable number.

64016001 is a deficient number, since it is larger than the sum of its proper divisors (48108528).

64016001 is an equidigital number, since it uses as much as digits as its factorization.

64016001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 64016001 is about 400.0333326389.

Multiplying 64016001 by its product of nonzero digits (144), we get a square (9218304144 = 96012²).

Adding to 64016001 its reverse (10061046), we get a palindrome (74077047).

It can be divided in two parts, 640 and 16001, that added together give a square (16641 = 129²).

The spelling of 64016001 in words is "sixty-four million, sixteen thousand, one".