198788616 has 216 divisors, whose sum is σ = 637833690. Its totient is φ = 55710720.

The previous prime is 198788593. The next prime is 198788627. The reversal of 198788616 is 616887891.

198788616 = 131³ + 132³ + ... + 181³.

198788616 is a `hidden beast` number, since 19 + 8 + 7 + 8 + 8 + 616 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 128731716 + 70056900 = 11346^2 + 8370^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6412521 + ... + 6412551.

Almost surely, 2^198788616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198788616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318916845).

198788616 is an abundant number, since it is smaller than the sum of its proper divisors (439045074).

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

198788616 is a wasteful number, since it uses less digits than its factorization.

198788616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 66 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 198788616 is about 14099.2416817359. The cubic root of 198788616 is about 583.6204530133.

The spelling of 198788616 in words is "one hundred ninety-eight million, seven hundred eighty-eight thousand, six hundred sixteen".