66837700 has 36 divisors (see below), whose sum is σ = 147428932. Its totient is φ = 26294400.

The previous prime is 66837679. The next prime is 66837709. The reversal of 66837700 is 773866.

It can be written as a sum of positive squares in 6 ways, for example, as 9290304 + 57547396 = 3048^2 + 7586^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66837700.

It is not an unprimeable number, because it can be changed into a prime (66837709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 622 + ... + 11578.

Almost surely, 2^66837700 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 66837700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73714466).

66837700 is an abundant number, since it is smaller than the sum of its proper divisors (80591232).

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

66837700 is a wasteful number, since it uses less digits than its factorization.

66837700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11032 (or 11025 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 66837700 is about 8175.4327102607. The cubic root of 66837700 is about 405.8265900222.

The spelling of 66837700 in words is "sixty-six million, eight hundred thirty-seven thousand, seven hundred".