66587680 has 48 divisors (see below), whose sum is σ = 159496344. Its totient is φ = 26265600.

The previous prime is 66587669. The next prime is 66587713. The reversal of 66587680 is 8678566.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 62916624 + 3671056 = 7932^2 + 1916^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66587680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8830 + ... + 14530.

Almost surely, 2^66587680 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 66587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79748172).

66587680 is an abundant number, since it is smaller than the sum of its proper divisors (92908664).

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

66587680 is a wasteful number, since it uses less digits than its factorization.

66587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 66587680 is about 8160.1274499851. The cubic root of 66587680 is about 405.3199321323.

The spelling of 66587680 in words is "sixty-six million, five hundred eighty-seven thousand, six hundred eighty".