198786240 has 168 divisors, whose sum is σ = 713707488. Its totient is φ = 50688000.

The previous prime is 198786239. The next prime is 198786241. The reversal of 198786240 is 42687891.

198786240 is a `hidden beast` number, since 19 + 8 + 7 + 8 + 624 + 0 = 666.

198786240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198786239) and next prime (198786241).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (198786241) 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, 64740 + ... + 67740.

Almost surely, 2^198786240 is an apocalyptic number.

198786240 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 198786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356853744).

198786240 is an abundant number, since it is smaller than the sum of its proper divisors (514921248).

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

198786240 is a wasteful number, since it uses less digits than its factorization.

198786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 198786240 is about 14099.1574216334. The cubic root of 198786240 is about 583.6181277834.

The spelling of 198786240 in words is "one hundred ninety-eight million, seven hundred eighty-six thousand, two hundred forty".