66396800 has 48 divisors (see below), whose sum is σ = 164028750. Its totient is φ = 26557440.

The previous prime is 66396797. The next prime is 66396851. The reversal of 66396800 is 869366.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 29333056 + 37063744 = 5416^2 + 6088^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7175 + ... + 13574.

Almost surely, 2^66396800 is an apocalyptic number.

It is an amenable number.

66396800 is an abundant number, since it is smaller than the sum of its proper divisors (97631950).

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

66396800 is a wasteful number, since it uses less digits than its factorization.

66396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20773 (or 20756 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 66396800 is about 8148.4231603421. The cubic root of 66396800 is about 404.9322652561.

The spelling of 66396800 in words is "sixty-six million, three hundred ninety-six thousand, eight hundred".