66250800 has 360 divisors, whose sum is σ = 287838720. Its totient is φ = 13708800.

The previous prime is 66250753. The next prime is 66250801. The reversal of 66250800 is 805266.

66250800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66250801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277081 + ... + 277319.

It is an arithmetic number, because the mean of its divisors is an integer number (799552).

Almost surely, 2^66250800 is an apocalyptic number.

66250800 is a gapful number since it is divisible by the number (60) 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 66250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143919360).

66250800 is an abundant number, since it is smaller than the sum of its proper divisors (221587920).

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

66250800 is a wasteful number, since it uses less digits than its factorization.

66250800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 66250800 is about 8139.4594415108. The cubic root of 66250800 is about 404.6352454357.

The spelling of 66250800 in words is "sixty-six million, two hundred fifty thousand, eight hundred".