66587616 has 48 divisors (see below), whose sum is σ = 194216400. Its totient is φ = 22195584.

The previous prime is 66587611. The next prime is 66587629. The reversal of 66587616 is 61678566.

66587616 is a `hidden beast` number, since 6 + 6 + 587 + 61 + 6 = 666.

66587616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66587611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37671 + ... + 39398.

It is an arithmetic number, because the mean of its divisors is an integer number (4046175).

Almost surely, 2^66587616 is an apocalyptic number.

It is an amenable number.

66587616 is an abundant number, since it is smaller than the sum of its proper divisors (127628784).

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

66587616 is a wasteful number, since it uses less digits than its factorization.

66587616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77088 (or 77074 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 66587616 is about 8160.1235284768. The cubic root of 66587616 is about 405.3198022761.

The spelling of 66587616 in words is "sixty-six million, five hundred eighty-seven thousand, six hundred sixteen".