66355056 has 60 divisors (see below), whose sum is σ = 190248240. Its totient is φ = 21576960.

The previous prime is 66355043. The next prime is 66355057. The reversal of 66355056 is 65055366.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66355056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66355057) 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 11 ways as a sum of consecutive naturals, for example, 285 + ... + 11523.

It is an arithmetic number, because the mean of its divisors is an integer number (3170804).

Almost surely, 2^66355056 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 66355056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95124120).

66355056 is an abundant number, since it is smaller than the sum of its proper divisors (123893184).

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

66355056 is a wasteful number, since it uses less digits than its factorization.

66355056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11294 (or 11285 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 66355056 is about 8145.8612804295. The cubic root of 66355056 is about 404.8473864861.

The spelling of 66355056 in words is "sixty-six million, three hundred fifty-five thousand, fifty-six".