66085800 has 384 divisors, whose sum is σ = 257126400. Its totient is φ = 13824000.

The previous prime is 66085787. The next prime is 66085801. The reversal of 66085800 is 858066.

66085800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (66085801) 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 95 ways as a sum of consecutive naturals, for example, 2131785 + ... + 2131815.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 2^66085800 is an apocalyptic number.

66085800 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 66085800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

66085800 is an abundant number, since it is smaller than the sum of its proper divisors (191040600).

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

66085800 is a wasteful number, since it uses less digits than its factorization.

66085800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 66085800 is about 8129.3173145105. The cubic root of 66085800 is about 404.2990466324.

It can be divided in two parts, 6 and 6085800, that added together give a palindrome (6085806).

The spelling of 66085800 in words is "sixty-six million, eighty-five thousand, eight hundred".