66589056 has 48 divisors (see below), whose sum is σ = 191620260. Its totient is φ = 22195968.

The previous prime is 66589031. The next prime is 66589057. The reversal of 66589056 is 65098566.

66589056 is a `hidden beast` number, since 66 + 589 + 0 + 5 + 6 = 666.

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

It is a super-2 number, since 2×66589056² = 8868204757942272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66589057) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27750 + ... + 30053.

Almost surely, 2^66589056 is an apocalyptic number.

It is an amenable number.

66589056 is an abundant number, since it is smaller than the sum of its proper divisors (125031204).

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

66589056 is a wasteful number, since it uses less digits than its factorization.

66589056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57823 (or 57808 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 66589056 is about 8160.2117619581. The cubic root of 66589056 is about 405.3227240221.

Adding to 66589056 its product of nonzero digits (388800), we get a square (66977856 = 8184²).

The spelling of 66589056 in words is "sixty-six million, five hundred eighty-nine thousand, fifty-six".