66006980 has 48 divisors (see below), whose sum is σ = 150528000. Its totient is φ = 24167808.

The previous prime is 66006977. The next prime is 66006989. The reversal of 66006980 is 8960066.

It is a self number, because there is not a number n which added to its sum of digits gives 66006980.

It is not an unprimeable number, because it can be changed into a prime (66006989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32021 + ... + 34019.

It is an arithmetic number, because the mean of its divisors is an integer number (3136000).

Almost surely, 2^66006980 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 66006980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75264000).

66006980 is an abundant number, since it is smaller than the sum of its proper divisors (84521020).

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

66006980 is a wasteful number, since it uses less digits than its factorization.

66006980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 66006980 is about 8124.4679825820. The cubic root of 66006980 is about 404.1382479516.

The spelling of 66006980 in words is "sixty-six million, six thousand, nine hundred eighty".