64041601 has 16 divisors (see below), whose sum is σ = 73474128. Its totient is φ = 55296000.

The previous prime is 64041581. The next prime is 64041611. The reversal of 64041601 is 10614046.

It can be written as a sum of positive squares in 8 ways, for example, as 25600 + 64016001 = 160^2 + 8001^2 .

It is a 3-Lehmer number, since φ(64041601) divides (64041601-1)³.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-64041601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (64041611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39201 + ... + 40801.

It is an arithmetic number, because the mean of its divisors is an integer number (4592133).

Almost surely, 2^64041601 is an apocalyptic number.

It is an amenable number.

64041601 is a deficient number, since it is larger than the sum of its proper divisors (9432527).

64041601 is a wasteful number, since it uses less digits than its factorization.

64041601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 64041601 is about 8002.5996401170. The cubic root of 64041601 is about 400.0866499781.

Adding to 64041601 its reverse (10614046), we get a palindrome (74655647).

It can be divided in two parts, 6404 and 1601, that multiplied together give a square (10252804 = 3202²).

The spelling of 64041601 in words is "sixty-four million, forty-one thousand, six hundred one".