66000288 has 96 divisors (see below), whose sum is σ = 181560960. Its totient is φ = 20966400.

The previous prime is 66000287. The next prime is 66000299. The reversal of 66000288 is 88200066.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (66000287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420306 + ... + 420462.

It is an arithmetic number, because the mean of its divisors is an integer number (1891260).

Almost surely, 2^66000288 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 66000288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90780480).

66000288 is an abundant number, since it is smaller than the sum of its proper divisors (115560672).

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

66000288 is a wasteful number, since it uses less digits than its factorization.

66000288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 66000288 is about 8124.0561297913. The cubic root of 66000288 is about 404.1245898781.

The spelling of 66000288 in words is "sixty-six million, two hundred eighty-eight", and thus it is an aban number.