198519552 has 288 divisors, whose sum is σ = 733877760. Its totient is φ = 51425280.

The previous prime is 198519551. The next prime is 198519553. The reversal of 198519552 is 255915891.

198519552 is a `hidden beast` number, since 1 + 9 + 85 + 19 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (198519551) and next prime (198519553).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 198519498 and 198519507.

It is not an unprimeable number, because it can be changed into a prime (198519551) 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, 532038 + ... + 532410.

Almost surely, 2^198519552 is an apocalyptic number.

198519552 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 198519552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366938880).

198519552 is an abundant number, since it is smaller than the sum of its proper divisors (535358208).

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

198519552 is a wasteful number, since it uses less digits than its factorization.

198519552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 396 counting only the distinct ones).

The product of its digits is 162000, while the sum is 45.

The square root of 198519552 is about 14089.6966610357. The cubic root of 198519552 is about 583.3570204984.

It can be divided in two parts, 19851 and 9552, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 198519552 in words is "one hundred ninety-eight million, five hundred nineteen thousand, five hundred fifty-two".