66198 has 32 divisors (see below), whose sum is σ = 155520. Its totient is φ = 18560.

The previous prime is 66191. The next prime is 66221. The reversal of 66198 is 89166.

66198 is a modest number, since divided by 198 gives 66 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 66198.

It is not an unprimeable number, because it can be changed into a prime (66191) by changing a digit.

66198 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1093 + ... + 1151.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

66198 is a Giuga number.

2^{66198} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760).

66198 is an abundant number, since it is smaller than the sum of its proper divisors (89322).

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

66198 is a wasteful number, since it uses less digits than its factorization.

66198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92.

The product of its digits is 2592, while the sum is 30.

The square root of 66198 is about 257.2897199656. The cubic root of 66198 is about 40.4527722612.

The spelling of 66198 in words is "sixty-six thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 11 17 22 33 34 51 59 66 102 118 177 187 354 374 561 649 1003 1122 1298 1947 2006 3009 3894 6018 11033 22066 33099 66198

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