66106782 has 72 divisors (see below), whose sum is σ = 167845392. Its totient is φ = 18748800.

The previous prime is 66106763. The next prime is 66106813. The reversal of 66106782 is 28760166.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 212407 + ... + 212717.

It is an arithmetic number, because the mean of its divisors is an integer number (2331186).

Almost surely, 2^66106782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66106782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83922696).

66106782 is an abundant number, since it is smaller than the sum of its proper divisors (101738610).

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

66106782 is a wasteful number, since it uses less digits than its factorization.

66106782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 66106782 is about 8130.6077263634. The cubic root of 66106782 is about 404.3418299281.

The spelling of 66106782 in words is "sixty-six million, one hundred six thousand, seven hundred eighty-two".