64042064 has 20 divisors (see below), whose sum is σ = 124212660. Its totient is φ = 31987200.

The previous prime is 64042057. The next prime is 64042067. The reversal of 64042064 is 46024046.

It can be written as a sum of positive squares in 2 ways, for example, as 16321600 + 47720464 = 4040^2 + 6908^2 .

It is a super-2 number, since 2×64042064² = 8202771922760192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64042067) 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 3 ways as a sum of consecutive naturals, for example, 21464 + ... + 24264.

It is an arithmetic number, because the mean of its divisors is an integer number (6210633).

Almost surely, 2^64042064 is an apocalyptic number.

It is an amenable number.

64042064 is a deficient number, since it is larger than the sum of its proper divisors (60170596).

64042064 is a wasteful number, since it uses less digits than its factorization.

64042064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 64042064 is about 8002.6285681643. The cubic root of 64042064 is about 400.0876141413.

The spelling of 64042064 in words is "sixty-four million, forty-two thousand, sixty-four", and thus it is an eban number.