66288160 has 48 divisors (see below), whose sum is σ = 159581016. Its totient is φ = 26011648.

The previous prime is 66288121. The next prime is 66288191. The reversal of 66288160 is 6188266.

It can be written as a sum of positive squares in 4 ways, for example, as 37601424 + 28686736 = 6132^2 + 5356^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4572 + ... + 12388.

Almost surely, 2^66288160 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 66288160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79790508).

66288160 is an abundant number, since it is smaller than the sum of its proper divisors (93292856).

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

66288160 is a wasteful number, since it uses less digits than its factorization.

66288160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7885 (or 7877 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 66288160 is about 8141.7541107552. The cubic root of 66288160 is about 404.7112914711.

The spelling of 66288160 in words is "sixty-six million, two hundred eighty-eight thousand, one hundred sixty".