66006576 has 70 divisors (see below), whose sum is σ = 191777780. Its totient is φ = 21998304.

The previous prime is 66006569. The next prime is 66006587. The reversal of 66006576 is 67560066.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66006576.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8835 + ... + 14493.

Almost surely, 2^66006576 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 66006576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95888890).

66006576 is an abundant number, since it is smaller than the sum of its proper divisors (125771204).

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

66006576 is an equidigital number, since it uses as much as digits as its factorization.

66006576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 66006576 is about 8124.4431193775. The cubic root of 66006576 is about 404.1374234318.

The spelling of 66006576 in words is "sixty-six million, six thousand, five hundred seventy-six".