190457568 has 144 divisors (see below), whose sum is σ = 642096000. Its totient is φ = 54400896.

The previous prime is 190457563. The next prime is 190457593. The reversal of 190457568 is 865754091.

190457568 is a `hidden beast` number, since 19 + 0 + 4 + 575 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190457563) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52683 + ... + 56181.

It is an arithmetic number, because the mean of its divisors is an integer number (4459000).

Almost surely, 2^190457568 is an apocalyptic number.

190457568 is a gapful number since it is divisible by the number (18) 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 190457568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321048000).

190457568 is an abundant number, since it is smaller than the sum of its proper divisors (451638432).

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

190457568 is an equidigital number, since it uses as much as digits as its factorization.

190457568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 190457568 is about 13800.6365070601. The cubic root of 190457568 is about 575.3508311426.

The spelling of 190457568 in words is "one hundred ninety million, four hundred fifty-seven thousand, five hundred sixty-eight".