66345786 has 48 divisors (see below), whose sum is σ = 155511720. Its totient is φ = 20321280.

The previous prime is 66345779. The next prime is 66345787. The reversal of 66345786 is 68754366.

66345786 is a `hidden beast` number, since 6 + 634 + 5 + 7 + 8 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45360225 + 20985561 = 6735^2 + 4581^2 .

It is not an unprimeable number, because it can be changed into a prime (66345787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65250 + ... + 66258.

Almost surely, 2^66345786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66345786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77755860).

66345786 is an abundant number, since it is smaller than the sum of its proper divisors (89165934).

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

66345786 is a wasteful number, since it uses less digits than its factorization.

66345786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1308 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 66345786 is about 8145.2922599499. The cubic root of 66345786 is about 404.8285328107.

The spelling of 66345786 in words is "sixty-six million, three hundred forty-five thousand, seven hundred eighty-six".