66081584 has 60 divisors (see below), whose sum is σ = 140699328. Its totient is φ = 30028800.

The previous prime is 66081581. The next prime is 66081611. The reversal of 66081584 is 48518066.

It is not an unprimeable number, because it can be changed into a prime (66081581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143114 + ... + 143574.

Almost surely, 2^66081584 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 66081584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70349664).

66081584 is an abundant number, since it is smaller than the sum of its proper divisors (74617744).

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

66081584 is a wasteful number, since it uses less digits than its factorization.

66081584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 66081584 is about 8129.0580020074. The cubic root of 66081584 is about 404.2904489153.

It can be divided in two parts, 6608 and 1584, that added together give a 13-th power (8192 = 2¹³).

The spelling of 66081584 in words is "sixty-six million, eighty-one thousand, five hundred eighty-four".