66512160 has 576 divisors, whose sum is σ = 297198720. Its totient is φ = 13271040.

The previous prime is 66512153. The next prime is 66512197. The reversal of 66512160 is 6121566.

66512160 = 391² + 392² + ... + 637².

It is a happy number.

66512160 is a `hidden beast` number, since 6 + 651 + 2 + 1 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3500631 + ... + 3500649.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^66512160 is an apocalyptic number.

66512160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66512160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

66512160 is an abundant number, since it is smaller than the sum of its proper divisors (230686560).

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

66512160 is a wasteful number, since it uses less digits than its factorization.

66512160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 66512160 is about 8155.4987585064. The cubic root of 66512160 is about 405.1666438137.

The spelling of 66512160 in words is "sixty-six million, five hundred twelve thousand, one hundred sixty".