198958160 has 40 divisors (see below), whose sum is σ = 463533576. Its totient is φ = 79418880.

The previous prime is 198958153. The next prime is 198958163. The reversal of 198958160 is 61859891.

It can be written as a sum of positive squares in 4 ways, for example, as 35344 + 198922816 = 188^2 + 14104^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-5 number, since 5×198958160⁵ (a number of 43 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198958163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40982 + ... + 45578.

Almost surely, 2^198958160 is an apocalyptic number.

198958160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198958160 is an abundant number, since it is smaller than the sum of its proper divisors (264575416).

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

198958160 is a wasteful number, since it uses less digits than its factorization.

198958160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 47.

The square root of 198958160 is about 14105.2529222272. The cubic root of 198958160 is about 583.7863264095.

The spelling of 198958160 in words is "one hundred ninety-eight million, nine hundred fifty-eight thousand, one hundred sixty".