198257040 has 60 divisors (see below), whose sum is σ = 665815644. Its totient is φ = 52868352.

The previous prime is 198257029. The next prime is 198257071. The reversal of 198257040 is 40752891.

198257040 is a `hidden beast` number, since 1 + 9 + 82 + 570 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109746576 + 88510464 = 10476^2 + 9408^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 198256986 and 198257004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136959 + ... + 138398.

Almost surely, 2^198257040 is an apocalyptic number.

198257040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198257040 is an abundant number, since it is smaller than the sum of its proper divisors (467558604).

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

198257040 is a wasteful number, since it uses less digits than its factorization.

198257040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275376 (or 275367 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 198257040 is about 14080.3778358395. The cubic root of 198257040 is about 583.0997733458.

The spelling of 198257040 in words is "one hundred ninety-eight million, two hundred fifty-seven thousand, forty".