8064219601 has 9 divisors (see below), whose sum is σ = 8163938001. Its totient is φ = 7965707904.

The previous prime is 8064219593. The next prime is 8064219607. The reversal of 8064219601 is 1069124608.

It is a happy number.

The square root of 8064219601 is 89801.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2061069201 + 6003150400 = 45399^2 + 77480^2 .

It is not a de Polignac number, because 8064219601 - 2³ = 8064219593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8064219607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7991785 + ... + 7992793.

Almost surely, 2^8064219601 is an apocalyptic number.

8064219601 is the 89801-st square number.

8064219601 is the 44901-st centered octagonal number.

It is an amenable number.

8064219601 is a deficient number, since it is larger than the sum of its proper divisors (99718400).

8064219601 is an frugal number, since it uses more digits than its factorization.

8064219601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The cubic root of 8064219601 is about 2005.3373769496.

Multiplying 8064219601 by its product of nonzero digits (20736), we get a square (167219657646336 = 12931344²).

The spelling of 8064219601 in words is "eight billion, sixty-four million, two hundred nineteen thousand, six hundred one".