66875856 has 80 divisors (see below), whose sum is σ = 180792000. Its totient is φ = 21274624.

The previous prime is 66875843. The next prime is 66875857. The reversal of 66875856 is 65857866.

66875856 is nontrivially palindromic in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 66875799 and 66875808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66875857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148720 + ... + 149168.

It is an arithmetic number, because the mean of its divisors is an integer number (2259900).

Almost surely, 2^66875856 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 66875856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90396000).

66875856 is an abundant number, since it is smaller than the sum of its proper divisors (113916144).

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

66875856 is a wasteful number, since it uses less digits than its factorization.

66875856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The square root of 66875856 is about 8177.7659540977. The cubic root of 66875856 is about 405.9038008064.

The spelling of 66875856 in words is "sixty-six million, eight hundred seventy-five thousand, eight hundred fifty-six".