64577601 has 32 divisors (see below), whose sum is σ = 105431040. Its totient is φ = 38739600.

The previous prime is 64577587. The next prime is 64577621. The reversal of 64577601 is 10677546.

64577601 is a `hidden beast` number, since 6 + 45 + 7 + 7 + 601 = 666.

It is not a de Polignac number, because 64577601 - 2⁹ = 64577089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (64577621) 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 31 ways as a sum of consecutive naturals, for example, 29536 + ... + 31646.

It is an arithmetic number, because the mean of its divisors is an integer number (3294720).

Almost surely, 2^64577601 is an apocalyptic number.

It is an amenable number.

64577601 is a deficient number, since it is larger than the sum of its proper divisors (40853439).

64577601 is a wasteful number, since it uses less digits than its factorization.

64577601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 64577601 is about 8036.0189770806. The cubic root of 64577601 is about 401.1997334184.

The spelling of 64577601 in words is "sixty-four million, five hundred seventy-seven thousand, six hundred one".