198861696 has 128 divisors (see below), whose sum is σ = 640396800. Its totient is φ = 60249600.

The previous prime is 198861659. The next prime is 198861727. The reversal of 198861696 is 696168891.

198861696 is a `hidden beast` number, since 19 + 8 + 8 + 616 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35401 + ... + 40631.

It is an arithmetic number, because the mean of its divisors is an integer number (5003100).

Almost surely, 2^198861696 is an apocalyptic number.

198861696 is a gapful number since it is divisible by the number (16) 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 198861696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320198400).

198861696 is an abundant number, since it is smaller than the sum of its proper divisors (441535104).

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

198861696 is a wasteful number, since it uses less digits than its factorization.

198861696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5247 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 198861696 is about 14101.8330723350. The cubic root of 198861696 is about 583.6919624020.

The spelling of 198861696 in words is "one hundred ninety-eight million, eight hundred sixty-one thousand, six hundred ninety-six".