66811360 has 288 divisors, whose sum is σ = 217183680. Its totient is φ = 18923520.

The previous prime is 66811351. The next prime is 66811361. The reversal of 66811360 is 6311866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66811361) 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 47 ways as a sum of consecutive naturals, for example, 2303826 + ... + 2303854.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 2^66811360 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 66811360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108591840).

66811360 is an abundant number, since it is smaller than the sum of its proper divisors (150372320).

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

66811360 is a wasteful number, since it uses less digits than its factorization.

66811360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 66811360 is about 8173.8216276109. The cubic root of 66811360 is about 405.7732724241.

The spelling of 66811360 in words is "sixty-six million, eight hundred eleven thousand, three hundred sixty".