66345984 has 132 divisors (see below), whose sum is σ = 200540496. Its totient is φ = 21086208.

The previous prime is 66345959. The next prime is 66345989. The reversal of 66345984 is 48954366.

66345984 is a `hidden beast` number, since 6 + 634 + 5 + 9 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66345989) 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 11 ways as a sum of consecutive naturals, for example, 211812 + ... + 212124.

Almost surely, 2^66345984 is an apocalyptic number.

66345984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100270248).

66345984 is an abundant number, since it is smaller than the sum of its proper divisors (134194512).

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

66345984 is a wasteful number, since it uses less digits than its factorization.

66345984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 341 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 66345984 is about 8145.3044142009. The cubic root of 66345984 is about 404.8289355289.

The spelling of 66345984 in words is "sixty-six million, three hundred forty-five thousand, nine hundred eighty-four".