198612480 has 160 divisors (see below), whose sum is σ = 692955648. Its totient is φ = 48128000.

The previous prime is 198612473. The next prime is 198612481. The reversal of 198612480 is 84216891.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198612481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83305 + ... + 85655.

Almost surely, 2^198612480 is an apocalyptic number.

198612480 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 198612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346477824).

198612480 is an abundant number, since it is smaller than the sum of its proper divisors (494343168).

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

198612480 is a wasteful number, since it uses less digits than its factorization.

198612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 198612480 is about 14092.9940041142. The cubic root of 198612480 is about 583.4480304169.

The spelling of 198612480 in words is "one hundred ninety-eight million, six hundred twelve thousand, four hundred eighty".