198743040 has 264 divisors, whose sum is σ = 728076960. Its totient is φ = 49987584.

The previous prime is 198742969. The next prime is 198743047. The reversal of 198743040 is 40347891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 198742986 and 198743004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198743047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875407 + ... + 875633.

Almost surely, 2^198743040 is an apocalyptic number.

198743040 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 198743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364038480).

198743040 is an abundant number, since it is smaller than the sum of its proper divisors (529333920).

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

198743040 is a wasteful number, since it uses less digits than its factorization.

198743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 198743040 is about 14097.6253319486. The cubic root of 198743040 is about 583.5758476441.

The spelling of 198743040 in words is "one hundred ninety-eight million, seven hundred forty-three thousand, forty".