198753604 has 81 divisors (see below), whose sum is σ = 435230397. Its totient is φ = 79174368.

The previous prime is 198753601. The next prime is 198753673. The reversal of 198753604 is 406357891.

The square root of 198753604 is 14098.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 143280900 + 55472704 = 11970^2 + 7448^2 .

It is not an unprimeable number, because it can be changed into a prime (198753601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3750042 + ... + 3750094.

Almost surely, 2^198753604 is an apocalyptic number.

198753604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

198753604 is the 14098-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198753604

198753604 is an abundant number, since it is smaller than the sum of its proper divisors (236476793).

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

198753604 is a wasteful number, since it uses less digits than its factorization.

198753604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The cubic root of 198753604 is about 583.5861872700.

The spelling of 198753604 in words is "one hundred ninety-eight million, seven hundred fifty-three thousand, six hundred four".