66585492 has 36 divisors (see below), whose sum is σ = 168700896. Its totient is φ = 22144080.

The previous prime is 66585461. The next prime is 66585499. The reversal of 66585492 is 29458566.

66585492 is a `hidden beast` number, since 66 + 585 + 4 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66585499) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15793 + ... + 19559.

It is an arithmetic number, because the mean of its divisors is an integer number (4686136).

Almost surely, 2^66585492 is an apocalyptic number.

It is an amenable number.

66585492 is an abundant number, since it is smaller than the sum of its proper divisors (102115404).

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

66585492 is a wasteful number, since it uses less digits than its factorization.

66585492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4263 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 66585492 is about 8159.9933823503. The cubic root of 66585492 is about 405.3154926238.

The spelling of 66585492 in words is "sixty-six million, five hundred eighty-five thousand, four hundred ninety-two".