66586961 has 8 divisors (see below), whose sum is σ = 76314240. Its totient is φ = 56913408.

The previous prime is 66586951. The next prime is 66586979. The reversal of 66586961 is 16968566.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66586961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66586931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10736 + ... + 15761.

It is an arithmetic number, because the mean of its divisors is an integer number (9539280).

Almost surely, 2^66586961 is an apocalyptic number.

It is an amenable number.

66586961 is a deficient number, since it is larger than the sum of its proper divisors (9727279).

66586961 is a wasteful number, since it uses less digits than its factorization.

66586961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26863.

The product of its digits is 466560, while the sum is 47.

The square root of 66586961 is about 8160.0833941817. The cubic root of 66586961 is about 405.3184732735.

The spelling of 66586961 in words is "sixty-six million, five hundred eighty-six thousand, nine hundred sixty-one".