66589146 has 48 divisors (see below), whose sum is σ = 155990016. Its totient is φ = 20407968.

The previous prime is 66589141. The next prime is 66589151. The reversal of 66589146 is 64198566.

66589146 is a `hidden beast` number, since 66 + 589 + 1 + 4 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (66589141) and next prime (66589151).

It is a super-2 number, since 2×66589146² = 8868228730018632, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66589141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89251 + ... + 89993.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2^66589146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66589146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

66589146 is an abundant number, since it is smaller than the sum of its proper divisors (89400870).

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

66589146 is a wasteful number, since it uses less digits than its factorization.

66589146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1144 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 66589146 is about 8160.2172765191. The cubic root of 66589146 is about 405.3229066298.

The spelling of 66589146 in words is "sixty-six million, five hundred eighty-nine thousand, one hundred forty-six".