66814300 has 72 divisors (see below), whose sum is σ = 171100160. Its totient is φ = 22161600.

The previous prime is 66814277. The next prime is 66814309. The reversal of 66814300 is 341866.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66814309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20161 + ... + 23239.

Almost surely, 2^66814300 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 66814300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85550080).

66814300 is an abundant number, since it is smaller than the sum of its proper divisors (104285860).

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

66814300 is a wasteful number, since it uses less digits than its factorization.

66814300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 66814300 is about 8174.0014680694. The cubic root of 66814300 is about 405.7792242858.

The spelling of 66814300 in words is "sixty-six million, eight hundred fourteen thousand, three hundred".