66519312 has 80 divisors (see below), whose sum is σ = 181595520. Its totient is φ = 20939776.

The previous prime is 66519287. The next prime is 66519319. The reversal of 66519312 is 21391566.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66519319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97918 + ... + 98594.

It is an arithmetic number, because the mean of its divisors is an integer number (2269944).

Almost surely, 2^66519312 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 66519312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90797760).

66519312 is an abundant number, since it is smaller than the sum of its proper divisors (115076208).

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

66519312 is a wasteful number, since it uses less digits than its factorization.

66519312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 66519312 is about 8155.9372238879. The cubic root of 66519312 is about 405.1811657095.

The spelling of 66519312 in words is "sixty-six million, five hundred nineteen thousand, three hundred twelve".