66874200 has 96 divisors (see below), whose sum is σ = 208647360. Its totient is φ = 17718400.

The previous prime is 66874193. The next prime is 66874201. The reversal of 66874200 is 247866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66874201) 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, 135955 + ... + 136445.

It is an arithmetic number, because the mean of its divisors is an integer number (2173410).

Almost surely, 2^66874200 is an apocalyptic number.

66874200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66874200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104323680).

66874200 is an abundant number, since it is smaller than the sum of its proper divisors (141773160).

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

66874200 is a wasteful number, since it uses less digits than its factorization.

66874200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 66874200 is about 8177.6647033245. The cubic root of 66874200 is about 405.9004504082.

The spelling of 66874200 in words is "sixty-six million, eight hundred seventy-four thousand, two hundred".