198682848 has 432 divisors, whose sum is σ = 766175760. Its totient is φ = 49641984.

The previous prime is 198682823. The next prime is 198682889. The reversal of 198682848 is 848286891.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×198682848² = 78949748178782208, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 198682794 and 198682803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10456983 + ... + 10457001.

It is an arithmetic number, because the mean of its divisors is an integer number (1773555).

Almost surely, 2^198682848 is an apocalyptic number.

198682848 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 198682848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383087880).

198682848 is an abundant number, since it is smaller than the sum of its proper divisors (567492912).

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

198682848 is a wasteful number, since it uses less digits than its factorization.

198682848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 44 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 198682848 is about 14095.4903426592. The cubic root of 198682848 is about 583.5169271000.

The spelling of 198682848 in words is "one hundred ninety-eight million, six hundred eighty-two thousand, eight hundred forty-eight".