198815040 has 112 divisors (see below), whose sum is σ = 701405760. Its totient is φ = 53015040.

The previous prime is 198814951. The next prime is 198815041. The reversal of 198815040 is 40518891.

198815040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 198814986 and 198815004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198815041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2866 + ... + 20145.

Almost surely, 2^198815040 is an apocalyptic number.

198815040 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 198815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350702880).

198815040 is an abundant number, since it is smaller than the sum of its proper divisors (502590720).

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

198815040 is a wasteful number, since it uses less digits than its factorization.

198815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23037 (or 23021 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 198815040 is about 14100.1787222716. The cubic root of 198815040 is about 583.6463111399.

The spelling of 198815040 in words is "one hundred ninety-eight million, eight hundred fifteen thousand, forty".