198624 has 24 divisors (see below), whose sum is σ = 521640. Its totient is φ = 66176.

The previous prime is 198623. The next prime is 198637. The reversal of 198624 is 426891.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 198591 and 198600.

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 198624.

It is not an unprimeable number, because it can be changed into a prime (198623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 939 + ... + 1130.

It is an arithmetic number, because the mean of its divisors is an integer number (21735).

2¹⁹⁸⁶²⁴ is an apocalyptic number.

It is an amenable number.

198624 is an abundant number, since it is smaller than the sum of its proper divisors (323016).

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

198624 is a wasteful number, since it uses less digits than its factorization.

198624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2074 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 198624 is about 445.6725255162. The cubic root of 198624 is about 58.3459310660.

The spelling of 198624 in words is "one hundred ninety-eight thousand, six hundred twenty-four".