190838304 has 72 divisors (see below), whose sum is σ = 557395020. Its totient is φ = 61890048.

The previous prime is 190838303. The next prime is 190838321. The reversal of 190838304 is 403838091.

190838304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 183548304 + 7290000 = 13548^2 + 2700^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (190838303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1702 + ... + 19610.

Almost surely, 2^190838304 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 190838304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278697510).

190838304 is an abundant number, since it is smaller than the sum of its proper divisors (366556716).

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

190838304 is a wasteful number, since it uses less digits than its factorization.

190838304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17962 (or 17951 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 190838304 is about 13814.4237664841. The cubic root of 190838304 is about 575.7339627924.

The spelling of 190838304 in words is "one hundred ninety million, eight hundred thirty-eight thousand, three hundred four".