66588912 has 160 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 20079360.

The previous prime is 66588889. The next prime is 66588919. The reversal of 66588912 is 21988566.

66588912 is a `hidden beast` number, since 66 + 588 + 9 + 1 + 2 = 666.

Its product of digits (207360) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66588919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398653 + ... + 398819.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^66588912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66588912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

66588912 is an abundant number, since it is smaller than the sum of its proper divisors (143397648).

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

66588912 is a wasteful number, since it uses less digits than its factorization.

66588912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 66588912 is about 8160.2029386529. The cubic root of 66588912 is about 405.3224318494.

The spelling of 66588912 in words is "sixty-six million, five hundred eighty-eight thousand, nine hundred twelve".