66000060 has 144 divisors (see below), whose sum is σ = 233688000. Its totient is φ = 15071616.

The previous prime is 66000049. The next prime is 66000071. The reversal of 66000060 is 6000066.

66000060 is a `hidden beast` number, since 6 + 600 + 0 + 0 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (66000049) and next prime (66000071).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 65999997 and 66000042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61206 + ... + 62274.

Almost surely, 2^66000060 is an apocalyptic number.

66000060 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 66000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116844000).

66000060 is an abundant number, since it is smaller than the sum of its proper divisors (167687940).

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

66000060 is a wasteful number, since it uses less digits than its factorization.

66000060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 66000060 is about 8124.0420973799. The cubic root of 66000060 is about 404.1241245240.

The spelling of 66000060 in words is "sixty-six million, sixty", and thus it is an aban number, an eban number, and an uban number.