198827424 has 72 divisors (see below), whose sum is σ = 571842180. Its totient is φ = 65522688.

The previous prime is 198827417. The next prime is 198827441. The reversal of 198827424 is 424728891.

It can be written as a sum of positive squares in 2 ways, for example, as 198810000 + 17424 = 14100^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 198827424.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21754 + ... + 29510.

Almost surely, 2^198827424 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 198827424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285921090).

198827424 is an abundant number, since it is smaller than the sum of its proper divisors (373014756).

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

198827424 is a wasteful number, since it uses less digits than its factorization.

198827424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7862 (or 7851 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 198827424 is about 14100.6178588032. The cubic root of 198827424 is about 583.6584291464.

The spelling of 198827424 in words is "one hundred ninety-eight million, eight hundred twenty-seven thousand, four hundred twenty-four".