66857600 has 96 divisors (see below), whose sum is σ = 175016700. Its totient is φ = 25149440.

The previous prime is 66857587. The next prime is 66857627. The reversal of 66857600 is 675866.

It can be written as a sum of positive squares in 6 ways, for example, as 54523456 + 12334144 = 7384^2 + 3512^2 .

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53786 + ... + 55014.

Almost surely, 2^66857600 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 66857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87508350).

66857600 is an abundant number, since it is smaller than the sum of its proper divisors (108159100).

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

66857600 is a wasteful number, since it uses less digits than its factorization.

66857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 66857600 is about 8176.6496806455. The cubic root of 66857600 is about 405.8668624422.

The spelling of 66857600 in words is "sixty-six million, eight hundred fifty-seven thousand, six hundred".