190648224 has 108 divisors (see below), whose sum is σ = 587218086. Its totient is φ = 58646016.

The previous prime is 190648207. The next prime is 190648231. The reversal of 190648224 is 422846091.

190648224 is a `hidden beast` number, since 1 + 9 + 0 + 648 + 2 + 2 + 4 = 666.

190648224 is digitally balanced in base 2, 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 3 ways, for example, as 126967824 + 63680400 = 11268^2 + 7980^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46714 + ... + 50630.

Almost surely, 2^190648224 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 190648224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293609043).

190648224 is an abundant number, since it is smaller than the sum of its proper divisors (396569862).

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

190648224 is a wasteful number, since it uses less digits than its factorization.

190648224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3959 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 190648224 is about 13807.5422867359. The cubic root of 190648224 is about 575.5427505410.

The spelling of 190648224 in words is "one hundred ninety million, six hundred forty-eight thousand, two hundred twenty-four".