198373680 has 240 divisors, whose sum is σ = 743389920. Its totient is φ = 47112192.

The previous prime is 198373673. The next prime is 198373723. The reversal of 198373680 is 86373891.

It is a happy number.

198373680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×198373680³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232134 + ... + 232986.

It is an arithmetic number, because the mean of its divisors is an integer number (3097458).

Almost surely, 2^198373680 is an apocalyptic number.

198373680 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 198373680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371694960).

198373680 is an abundant number, since it is smaller than the sum of its proper divisors (545016240).

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

198373680 is a wasteful number, since it uses less digits than its factorization.

198373680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 198373680 is about 14084.5191611215. The cubic root of 198373680 is about 583.2141020711.

The spelling of 198373680 in words is "one hundred ninety-eight million, three hundred seventy-three thousand, six hundred eighty".