64566801 has 36 divisors (see below), whose sum is σ = 104432692. Its totient is φ = 39680928.

The previous prime is 64566797. The next prime is 64566811. The reversal of 64566801 is 10866546.

64566801 is a `hidden beast` number, since 645 + 6 + 6 + 8 + 0 + 1 = 666.

64566801 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 23619600 + 40947201 = 4860^2 + 6399^2 .

It is not a de Polignac number, because 64566801 - 2² = 64566797 is a prime.

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64566811) 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 35 ways as a sum of consecutive naturals, for example, 84915 + ... + 85671.

Almost surely, 2^64566801 is an apocalyptic number.

64566801 is the 6561-st pentagonal number.

It is an amenable number.

64566801 is a deficient number, since it is larger than the sum of its proper divisors (39865891).

64566801 is an frugal number, since it uses more digits than its factorization.

64566801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 64566801 is about 8035.3469744623. The cubic root of 64566801 is about 401.1773665366.

It can be divided in two parts, 6456680 and 1, that added together give a square (6456681 = 2541²).

The spelling of 64566801 in words is "sixty-four million, five hundred sixty-six thousand, eight hundred one".