198947520 has 168 divisors, whose sum is σ = 703167504. Its totient is φ = 51591168.

The previous prime is 198947519. The next prime is 198947521. The reversal of 198947520 is 25749891.

198947520 is a `hidden beast` number, since 1 + 9 + 89 + 47 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (198947519) and next prime (198947521).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (198947521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105627 + ... + 107493.

Almost surely, 2^198947520 is an apocalyptic number.

198947520 is a gapful number since it is divisible by the number (10) 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 198947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351583752).

198947520 is an abundant number, since it is smaller than the sum of its proper divisors (504219984).

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

198947520 is a wasteful number, since it uses less digits than its factorization.

198947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 198947520 is about 14104.8757527317. The cubic root of 198947520 is about 583.7759195359.

The spelling of 198947520 in words is "one hundred ninety-eight million, nine hundred forty-seven thousand, five hundred twenty".