66130800 has 60 divisors (see below), whose sum is σ = 211842840. Its totient is φ = 17634560.

The previous prime is 66130789. The next prime is 66130847. The reversal of 66130800 is 803166.

66130800 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 (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26355 + ... + 28754.

It is an arithmetic number, because the mean of its divisors is an integer number (3530714).

Almost surely, 2^66130800 is an apocalyptic number.

66130800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66130800 is an abundant number, since it is smaller than the sum of its proper divisors (145712040).

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

66130800 is a wasteful number, since it uses less digits than its factorization.

66130800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55130 (or 55119 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 66130800 is about 8132.0846035933. The cubic root of 66130800 is about 404.3907926613.

Adding to 66130800 its reverse (803166), we get a palindrome (66933966).

The spelling of 66130800 in words is "sixty-six million, one hundred thirty thousand, eight hundred".