198604800 has 216 divisors, whose sum is σ = 712923120. Its totient is φ = 52838400.

The previous prime is 198604799. The next prime is 198604801. The reversal of 198604800 is 8406891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (198604799) and next prime (198604801).

It is a super-4 number, since 4×198604800⁴ (a number of 34 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198604801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460585 + ... + 461015.

It is an arithmetic number, because the mean of its divisors is an integer number (3300570).

Almost surely, 2^198604800 is an apocalyptic number.

198604800 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 198604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356461560).

198604800 is an abundant number, since it is smaller than the sum of its proper divisors (514318320).

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

198604800 is a wasteful number, since it uses less digits than its factorization.

198604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 441 counting only the distinct ones).

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

The square root of 198604800 is about 14092.7215256671. The cubic root of 198604800 is about 583.4405100123.

The spelling of 198604800 in words is "one hundred ninety-eight million, six hundred four thousand, eight hundred".