66588 has 24 divisors (see below), whose sum is σ = 161280. Its totient is φ = 21360.

The previous prime is 66587. The next prime is 66593. The reversal of 66588 is 88566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2⁶⁶⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

66588 is an abundant number, since it is smaller than the sum of its proper divisors (94692).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

66588 is a wasteful number, since it uses less digits than its factorization.

66588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 66588 is about 258.0465074362. The cubic root of 66588 is about 40.5320581412.

It can be divided in two parts, 6658 and 8, that added together give a palindrome (6666).

The spelling of 66588 in words is "sixty-six thousand, five hundred eighty-eight".