66585160 has 64 divisors (see below), whose sum is σ = 157690800. Its totient is φ = 25267200.

The previous prime is 66585143. The next prime is 66585187. The reversal of 66585160 is 6158566.

It can be written as a sum of positive squares in 8 ways, for example, as 14485636 + 52099524 = 3806^2 + 7218^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70290 + ... + 71230.

Almost surely, 2^66585160 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 66585160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78845400).

66585160 is an abundant number, since it is smaller than the sum of its proper divisors (91105640).

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

66585160 is a wasteful number, since it uses less digits than its factorization.

66585160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 66585160 is about 8159.9730391711. The cubic root of 66585160 is about 405.3148189787.

The spelling of 66585160 in words is "sixty-six million, five hundred eighty-five thousand, one hundred sixty".