198132480 has 648 divisors, whose sum is σ = 890587152. Its totient is φ = 41803776.

The previous prime is 198132463. The next prime is 198132481. The reversal of 198132480 is 84231891.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-3 number, since 3×198132480³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (198132481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15240954 + ... + 15240966.

Almost surely, 2^198132480 is an apocalyptic number.

198132480 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 198132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445293576).

198132480 is an abundant number, since it is smaller than the sum of its proper divisors (692454672).

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

198132480 is an equidigital number, since it uses as much as digits as its factorization.

198132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 198132480 is about 14075.9539641191. The cubic root of 198132480 is about 582.9776320357.

The spelling of 198132480 in words is "one hundred ninety-eight million, one hundred thirty-two thousand, four hundred eighty".