66081312 has 192 divisors, whose sum is σ = 223171200. Its totient is φ = 18800640.

The previous prime is 66081287. The next prime is 66081377. The reversal of 66081312 is 21318066.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161364 + ... + 161772.

It is an arithmetic number, because the mean of its divisors is an integer number (1162350).

Almost surely, 2^66081312 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 66081312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111585600).

66081312 is an abundant number, since it is smaller than the sum of its proper divisors (157089888).

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

66081312 is a wasteful number, since it uses less digits than its factorization.

66081312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 66081312 is about 8129.0412718844. The cubic root of 66081312 is about 404.2898942113.

Adding to 66081312 its reverse (21318066), we get a palindrome (87399378).

The spelling of 66081312 in words is "sixty-six million, eighty-one thousand, three hundred twelve".