66036560 has 40 divisors (see below), whose sum is σ = 154964040. Its totient is φ = 26168832.

The previous prime is 66036559. The next prime is 66036563. The reversal of 66036560 is 6563066.

It can be written as a sum of positive squares in 4 ways, for example, as 33500944 + 32535616 = 5788^2 + 5704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66036563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4934 + ... + 12506.

It is an arithmetic number, because the mean of its divisors is an integer number (3874101).

Almost surely, 2^66036560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66036560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77482020).

66036560 is an abundant number, since it is smaller than the sum of its proper divisors (88927480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66036560 is a wasteful number, since it uses less digits than its factorization.

66036560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695 (or 7689 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 66036560 is about 8126.2882055709. The cubic root of 66036560 is about 404.1986083564.

The spelling of 66036560 in words is "sixty-six million, thirty-six thousand, five hundred sixty".