198761904 has 160 divisors (see below), whose sum is σ = 628769280. Its totient is φ = 59616000.

The previous prime is 198761887. The next prime is 198761923. The reversal of 198761904 is 409167891.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 198761904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717414 + ... + 717690.

It is an arithmetic number, because the mean of its divisors is an integer number (3929808).

Almost surely, 2^198761904 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 198761904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314384640).

198761904 is an abundant number, since it is smaller than the sum of its proper divisors (430007376).

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

198761904 is a wasteful number, since it uses less digits than its factorization.

198761904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 198761904 is about 14098.2943649223. The cubic root of 198761904 is about 583.5943107251.

The spelling of 198761904 in words is "one hundred ninety-eight million, seven hundred sixty-one thousand, nine hundred four".