66348828 has 192 divisors, whose sum is σ = 218014720. Its totient is φ = 16982784.

The previous prime is 66348823. The next prime is 66348833. The reversal of 66348828 is 82884366.

It is a happy number.

66348828 is a `hidden beast` number, since 6 + 634 + 8 + 8 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (66348823) and next prime (66348833).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66348823) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 422526 + ... + 422682.

Almost surely, 2^66348828 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 66348828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109007360).

66348828 is an abundant number, since it is smaller than the sum of its proper divisors (151665892).

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

66348828 is a wasteful number, since it uses less digits than its factorization.

66348828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 66348828 is about 8145.4789914406. The cubic root of 66348828 is about 404.8347199385.

It can be divided in two parts, 66348 and 828, that added together give a palindrome (67176).

The spelling of 66348828 in words is "sixty-six million, three hundred forty-eight thousand, eight hundred twenty-eight".