194688 has 72 divisors (see below), whose sum is σ = 606645. Its totient is φ = 59904.
The previous prime is 194687. The next prime is 194707. The reversal of 194688 is 886491.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 28224 = 408^2 + 168^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=312.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (13824) is a multiple of the sum of its prime divisors (18).
It is not an unprimeable number, because it can be changed into a prime (194681) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14970 + ... + 14982.
2194688 is an apocalyptic number.
194688 is a gapful number since it is divisible by the number (18) 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 194688
194688 is an abundant number, since it is smaller than the sum of its proper divisors (411957).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
194688 is a wasteful number, since it uses less digits than its factorization.
194688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 46 (or 18 counting only the distinct ones).
The product of its digits is 13824, while the sum is 36.
The square root of 194688 is about 441.2346314604. The cubic root of 194688 is about 57.9579560539.
The spelling of 194688 in words is "one hundred ninety-four thousand, six hundred eighty-eight".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.069 sec. • engine limits •