66434600 has 48 divisors (see below), whose sum is σ = 155062620. Its totient is φ = 26470400.

The previous prime is 66434579. The next prime is 66434609. The reversal of 66434600 is 643466.

It can be written as a sum of positive squares in 6 ways, for example, as 24780484 + 41654116 = 4978^2 + 6454^2 .

It is not an unprimeable number, because it can be changed into a prime (66434609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70130 + ... + 71070.

Almost surely, 2^66434600 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 66434600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77531310).

66434600 is an abundant number, since it is smaller than the sum of its proper divisors (88628020).

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

66434600 is a wasteful number, since it uses less digits than its factorization.

66434600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 66434600 is about 8150.7422974843. The cubic root of 66434600 is about 405.0090939380.

The spelling of 66434600 in words is "sixty-six million, four hundred thirty-four thousand, six hundred".