64042641 has 12 divisors (see below), whose sum is σ = 99622068. Its totient is φ = 39410784.

The previous prime is 64042607. The next prime is 64042651. The reversal of 64042641 is 14624046.

64042641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 25553025 + 38489616 = 5055^2 + 6204^2 .

It is not a de Polignac number, because 64042641 - 2⁷ = 64042513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (64042651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273570 + ... + 273803.

It is an arithmetic number, because the mean of its divisors is an integer number (8301839).

Almost surely, 2^64042641 is an apocalyptic number.

It is an amenable number.

64042641 is a deficient number, since it is larger than the sum of its proper divisors (35579427).

64042641 is a wasteful number, since it uses less digits than its factorization.

64042641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547392 (or 547389 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 64042641 is about 8002.6646187379. The cubic root of 64042641 is about 400.0888156946.

Adding to 64042641 its reverse (14624046), we get a palindrome (78666687).

It can be divided in two parts, 6404 and 2641, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 64042641 in words is "sixty-four million, forty-two thousand, six hundred forty-one".