198142824 has 144 divisors (see below), whose sum is σ = 570538080. Its totient is φ = 57288000.

The previous prime is 198142799. The next prime is 198142883. The reversal of 198142824 is 428241891.

It is a super-3 number, since 3×198142824³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2790709 + ... + 2790779.

It is an arithmetic number, because the mean of its divisors is an integer number (3962070).

Almost surely, 2^198142824 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 198142824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285269040).

198142824 is an abundant number, since it is smaller than the sum of its proper divisors (372395256).

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

198142824 is a wasteful number, since it uses less digits than its factorization.

198142824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 118 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 198142824 is about 14076.3213944553. The cubic root of 198142824 is about 582.9877771260.

The spelling of 198142824 in words is "one hundred ninety-eight million, one hundred forty-two thousand, eight hundred twenty-four".