66582760 has 16 divisors (see below), whose sum is σ = 149811300. Its totient is φ = 26633088.

The previous prime is 66582751. The next prime is 66582797. The reversal of 66582760 is 6728566.

It can be written as a sum of positive squares in 2 ways, for example, as 62062884 + 4519876 = 7878^2 + 2126^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 1664569 = 66582760 / (6 + 6 + 5 + 8 + 2 + 7 + 6 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 832245 + ... + 832324.

Almost surely, 2^66582760 is an apocalyptic number.

It is an amenable number.

66582760 is an abundant number, since it is smaller than the sum of its proper divisors (83228540).

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

66582760 is a wasteful number, since it uses less digits than its factorization.

66582760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664580 (or 1664576 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 66582760 is about 8159.8259785366. The cubic root of 66582760 is about 405.3099491886.

The spelling of 66582760 in words is "sixty-six million, five hundred eighty-two thousand, seven hundred sixty".