66324736 has 27 divisors (see below), whose sum is σ = 132651001. Its totient is φ = 33097216.

The previous prime is 66324733. The next prime is 66324743. The reversal of 66324736 is 63742366.

The square root of 66324736 is 8144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53934336 + 12390400 = 7344^2 + 3520^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66324695 and 66324704.

It is not an unprimeable number, because it can be changed into a prime (66324733) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 130050 + ... + 130558.

Almost surely, 2^66324736 is an apocalyptic number.

66324736 is the 8144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66324736

66324736 is an abundant number, since it is smaller than the sum of its proper divisors (66326265).

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

66324736 is an frugal number, since it uses more digits than its factorization.

66324736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 511 counting only the distinct ones).

The product of its digits is 108864, while the sum is 37.

The cubic root of 66324736 is about 404.7857140047.

The spelling of 66324736 in words is "sixty-six million, three hundred twenty-four thousand, seven hundred thirty-six".