66198600 has 384 divisors, whose sum is σ = 262483200. Its totient is φ = 15206400.

The previous prime is 66198571. The next prime is 66198631. The reversal of 66198600 is 689166.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1614580 + ... + 1614620.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 2^66198600 is an apocalyptic number.

66198600 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 66198600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

66198600 is an abundant number, since it is smaller than the sum of its proper divisors (196284600).

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

66198600 is a wasteful number, since it uses less digits than its factorization.

66198600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 66198600 is about 8136.2522084803. The cubic root of 66198600 is about 404.5289447838.

The spelling of 66198600 in words is "sixty-six million, one hundred ninety-eight thousand, six hundred".