198213824 has 56 divisors (see below), whose sum is σ = 402738336. Its totient is φ = 96768000.

The previous prime is 198213809. The next prime is 198213887. The reversal of 198213824 is 428312891.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 822344 + ... + 822584.

It is an arithmetic number, because the mean of its divisors is an integer number (7191756).

Almost surely, 2^198213824 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 198213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201369168).

198213824 is an abundant number, since it is smaller than the sum of its proper divisors (204524512).

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

198213824 is a wasteful number, since it uses less digits than its factorization.

198213824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 198213824 is about 14078.8431342920. The cubic root of 198213824 is about 583.0574023057.

It can be divided in two parts, 19821382 and 4, that multiplied together give a triangular number (79285528 = T₁₂₅₉₂).

The spelling of 198213824 in words is "one hundred ninety-eight million, two hundred thirteen thousand, eight hundred twenty-four".