1207006564 has 27 divisors (see below), whose sum is σ = 2191267897. Its totient is φ = 581720048.

The previous prime is 1207006561. The next prime is 1207006583. The reversal of 1207006564 is 4656007021.

It is a happy number.

The square root of 1207006564 is 34742.

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

It can be written as a sum of positive squares in only one way, i.e., 632924964 + 574081600 = 25158^2 + 23960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1207006561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2014737 + ... + 2015335.

Almost surely, 2^1207006564 is an apocalyptic number.

1207006564 is the 34742-nd square number.

It is an amenable number.

1207006564 is a deficient number, since it is larger than the sum of its proper divisors (984261333).

1207006564 is an frugal number, since it uses more digits than its factorization.

1207006564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The cubic root of 1207006564 is about 1064.7227750149.

The spelling of 1207006564 in words is "one billion, two hundred seven million, six thousand, five hundred sixty-four".