66133056 has 112 divisors (see below), whose sum is σ = 193048128. Its totient is φ = 19814400.

The previous prime is 66133049. The next prime is 66133063. The reversal of 66133056 is 65033166.

It is an interprime number because it is at equal distance from previous prime (66133049) and next prime (66133063).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365286 + ... + 365466.

It is an arithmetic number, because the mean of its divisors is an integer number (1723644).

Almost surely, 2^66133056 is an apocalyptic number.

66133056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96524064).

66133056 is an abundant number, since it is smaller than the sum of its proper divisors (126915072).

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

66133056 is a wasteful number, since it uses less digits than its factorization.

66133056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 66133056 is about 8132.2233122314. The cubic root of 66133056 is about 404.3953910998.

It can be divided in two parts, 6613 and 3056, that added together give a palindrome (9669).

The spelling of 66133056 in words is "sixty-six million, one hundred thirty-three thousand, fifty-six".