198485760 has 288 divisors, whose sum is σ = 715825152. Its totient is φ = 46448640.

The previous prime is 198485719. The next prime is 198485767. The reversal of 198485760 is 67584891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198485767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1562817 + ... + 1562943.

It is an arithmetic number, because the mean of its divisors is an integer number (2485504).

Almost surely, 2^198485760 is an apocalyptic number.

198485760 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 198485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357912576).

198485760 is an abundant number, since it is smaller than the sum of its proper divisors (517339392).

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

198485760 is a wasteful number, since it uses less digits than its factorization.

198485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 198485760 is about 14088.4974358517. The cubic root of 198485760 is about 583.3239189410.

The spelling of 198485760 in words is "one hundred ninety-eight million, four hundred eighty-five thousand, seven hundred sixty".