198372240 has 400 divisors, whose sum is σ = 790770816. Its totient is φ = 45999360.

The previous prime is 198372211. The next prime is 198372277. The reversal of 198372240 is 42273891.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 198372195 and 198372204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8624869 + ... + 8624891.

Almost surely, 2^198372240 is an apocalyptic number.

198372240 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 198372240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395385408).

198372240 is an abundant number, since it is smaller than the sum of its proper divisors (592398576).

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

198372240 is a wasteful number, since it uses less digits than its factorization.

198372240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 44 counting only the distinct ones).

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

The square root of 198372240 is about 14084.4680410728. The cubic root of 198372240 is about 583.2126908786.

The spelling of 198372240 in words is "one hundred ninety-eight million, three hundred seventy-two thousand, two hundred forty".