198920736 has 144 divisors (see below), whose sum is σ = 655200000. Its totient is φ = 56070144.

The previous prime is 198920719. The next prime is 198920737. The reversal of 198920736 is 637029891.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 198920691 and 198920700.

It is not an unprimeable number, because it can be changed into a prime (198920737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158640 + ... + 159888.

It is an arithmetic number, because the mean of its divisors is an integer number (4550000).

Almost surely, 2^198920736 is an apocalyptic number.

198920736 is a gapful number since it is divisible by the number (16) 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 198920736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327600000).

198920736 is an abundant number, since it is smaller than the sum of its proper divisors (456279264).

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

198920736 is a wasteful number, since it uses less digits than its factorization.

198920736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 198920736 is about 14103.9262618606. The cubic root of 198920736 is about 583.7497207408.

The spelling of 198920736 in words is "one hundred ninety-eight million, nine hundred twenty thousand, seven hundred thirty-six".