198523008 has 256 divisors, whose sum is σ = 646272000. Its totient is φ = 59719680.

The previous prime is 198522983. The next prime is 198523037. The reversal of 198523008 is 800325891.

It is a super-2 number, since 2×198523008² = 78822769410736128, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1821258 + ... + 1821366.

It is an arithmetic number, because the mean of its divisors is an integer number (2524500).

Almost surely, 2^198523008 is an apocalyptic number.

198523008 is a gapful number since it is divisible by the number (18) 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 198523008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323136000).

198523008 is an abundant number, since it is smaller than the sum of its proper divisors (447748992).

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

198523008 is a wasteful number, since it uses less digits than its factorization.

198523008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 198523008 is about 14089.8193033126. The cubic root of 198523008 is about 583.3604056733.

Adding to 198523008 its reverse (800325891), we get a palindrome (998848899).

The spelling of 198523008 in words is "one hundred ninety-eight million, five hundred twenty-three thousand, eight".