66583360 has 28 divisors (see below), whose sum is σ = 158552388. Its totient is φ = 26633216.

The previous prime is 66583357. The next prime is 66583379. The reversal of 66583360 is 6338566.

66583360 = T₆₆₆₁ + T₆₆₆₂ + T₆₆₆₃.

It can be written as a sum of positive squares in 2 ways, for example, as 7354944 + 59228416 = 2712^2 + 7696^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103717 + ... + 104356.

Almost surely, 2^66583360 is an apocalyptic number.

66583360 is the 6663-rd centered triangular number.

It is an amenable number.

66583360 is an abundant number, since it is smaller than the sum of its proper divisors (91969028).

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

66583360 is a wasteful number, since it uses less digits than its factorization.

66583360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208090 (or 208080 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 66583360 is about 8159.8627439437. The cubic root of 66583360 is about 405.3111666471.

The spelling of 66583360 in words is "sixty-six million, five hundred eighty-three thousand, three hundred sixty".