198956736 has 168 divisors, whose sum is σ = 645712704. Its totient is φ = 60238080.

The previous prime is 198956683. The next prime is 198956749. The reversal of 198956736 is 637659891.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170491 + ... + 171653.

It is an arithmetic number, because the mean of its divisors is an integer number (3843528).

Almost surely, 2^198956736 is an apocalyptic number.

198956736 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 198956736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322856352).

198956736 is an abundant number, since it is smaller than the sum of its proper divisors (446755968).

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

198956736 is a wasteful number, since it uses less digits than its factorization.

198956736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1179 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 198956736 is about 14105.2024444883. The cubic root of 198956736 is about 583.7849336314.

The spelling of 198956736 in words is "one hundred ninety-eight million, nine hundred fifty-six thousand, seven hundred thirty-six".