198846720 has 216 divisors, whose sum is σ = 706443192. Its totient is φ = 51609600.

The previous prime is 198846691. The next prime is 198846721. The reversal of 198846720 is 27648891.

It can be written as a sum of positive squares in 4 ways, for example, as 19501056 + 179345664 = 4416^2 + 13392^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198846721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472110 + ... + 472530.

Almost surely, 2^198846720 is an apocalyptic number.

198846720 is a gapful number since it is divisible by the number (10) 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 198846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353221596).

198846720 is an abundant number, since it is smaller than the sum of its proper divisors (507596472).

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

198846720 is a wasteful number, since it uses less digits than its factorization.

198846720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 198846720 is about 14101.3020675397. The cubic root of 198846720 is about 583.6773096887.

The spelling of 198846720 in words is "one hundred ninety-eight million, eight hundred forty-six thousand, seven hundred twenty".