66383200 has 108 divisors (see below), whose sum is σ = 175840308. Its totient is φ = 24460800.

The previous prime is 66383197. The next prime is 66383237. The reversal of 66383200 is 238366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 134955 + ... + 135445.

It is an arithmetic number, because the mean of its divisors is an integer number (1628151).

Almost surely, 2^66383200 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 66383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87920154).

66383200 is an abundant number, since it is smaller than the sum of its proper divisors (109457108).

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

66383200 is a wasteful number, since it uses less digits than its factorization.

66383200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 66383200 is about 8147.5886003160. The cubic root of 66383200 is about 404.9046160579.

The spelling of 66383200 in words is "sixty-six million, three hundred eighty-three thousand, two hundred".