198291240 has 240 divisors, whose sum is σ = 775912500. Its totient is φ = 45287424.

The previous prime is 198291229. The next prime is 198291263. The reversal of 198291240 is 42192891.

It can be written as a sum of positive squares in 2 ways, for example, as 195608196 + 2683044 = 13986^2 + 1638^2 .

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 = 198291195 and 198291204.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158136 + ... + 159384.

Almost surely, 2^198291240 is an apocalyptic number.

198291240 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 198291240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387956250).

198291240 is an abundant number, since it is smaller than the sum of its proper divisors (577621260).

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

198291240 is a wasteful number, since it uses less digits than its factorization.

198291240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 198291240 is about 14081.5922395161. The cubic root of 198291240 is about 583.1333003026.

The spelling of 198291240 in words is "one hundred ninety-eight million, two hundred ninety-one thousand, two hundred forty".