198772848 has 120 divisors (see below), whose sum is σ = 572195520. Its totient is φ = 64396800.

The previous prime is 198772817. The next prime is 198772883. The reversal of 198772848 is 848277891.

It is a happy number.

It is a super-2 number, since 2×198772848² = 79021290204062208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198772794 and 198772803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1148890 + ... + 1149062.

It is an arithmetic number, because the mean of its divisors is an integer number (4768296).

Almost surely, 2^198772848 is an apocalyptic number.

198772848 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 198772848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286097760).

198772848 is an abundant number, since it is smaller than the sum of its proper divisors (373422672).

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

198772848 is a wasteful number, since it uses less digits than its factorization.

198772848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 358 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 198772848 is about 14098.6824916373. The cubic root of 198772848 is about 583.6050215954.

The spelling of 198772848 in words is "one hundred ninety-eight million, seven hundred seventy-two thousand, eight hundred forty-eight".