66684100 has 108 divisors (see below), whose sum is σ = 174155520. Its totient is φ = 22075200.

The previous prime is 66684097. The next prime is 66684103. The reversal of 66684100 is 148666.

66684100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66684097) and next prime (66684103).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (66684103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151681 + ... + 152119.

Almost surely, 2^66684100 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 66684100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87077760).

66684100 is an abundant number, since it is smaller than the sum of its proper divisors (107471420).

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

66684100 is a wasteful number, since it uses less digits than its factorization.

66684100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 66684100 is about 8166.0333087736. The cubic root of 66684100 is about 405.5154743094.

The spelling of 66684100 in words is "sixty-six million, six hundred eighty-four thousand, one hundred".