66842300 has 144 divisors (see below), whose sum is σ = 181113408. Its totient is φ = 20889600.

The previous prime is 66842299. The next prime is 66842327. The reversal of 66842300 is 324866.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487832 + ... + 487968.

It is an arithmetic number, because the mean of its divisors is an integer number (1257732).

Almost surely, 2^66842300 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 66842300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90556704).

66842300 is an abundant number, since it is smaller than the sum of its proper divisors (114271108).

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

66842300 is a wasteful number, since it uses less digits than its factorization.

66842300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 66842300 is about 8175.7140360950. The cubic root of 66842300 is about 405.8358999351.

The spelling of 66842300 in words is "sixty-six million, eight hundred forty-two thousand, three hundred".