198398592 has 256 divisors, whose sum is σ = 685440000. Its totient is φ = 55323648.

The previous prime is 198398581. The next prime is 198398593. The reversal of 198398592 is 295893891.

198398592 is a `hidden beast` number, since 19 + 8 + 39 + 8 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (198398593) 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, 1427259 + ... + 1427397.

It is an arithmetic number, because the mean of its divisors is an integer number (2677500).

Almost surely, 2^198398592 is an apocalyptic number.

198398592 is a gapful number since it is divisible by the number (12) 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 198398592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342720000).

198398592 is an abundant number, since it is smaller than the sum of its proper divisors (487041408).

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

198398592 is a wasteful number, since it uses less digits than its factorization.

198398592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 210 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The square root of 198398592 is about 14085.4035085971. The cubic root of 198398592 is about 583.2385146201.

The spelling of 198398592 in words is "one hundred ninety-eight million, three hundred ninety-eight thousand, five hundred ninety-two".