  In this paper we have investigated the dynamics of neutral, electrically
charged and magnetized particles around renormalized group improved (RGI)
Schwarzschild black hole in the presence of external asymptotically uniform
magnetic field. We have analyzed the spacetime structure around RGI black hole
by investigating Ricci, the square of Ricci tensor and Kretschmann curvature
scalars and shown that only in the case when the parameter $\gamma=0$ the
curvature becomes infinite at the center of the black hole, while for non-zero
values of $\gamma$ parameter the black hole curvature reflects the properties
of regular black hole. Analyzing the innermost stable circular orbits of test
neutral particles around RGI black hole and comparing with the results for
rotating Kerr black hole we have shown that RGI black hole parameters can mimic
the rotation parameter of Kerr black hole upto $a/M \lesssim 0.31$ providing
the same ISCO radius. Since according to the astronomical observations of the
accretion disks confirm that the astrophysical black holes are rapidly rotating
with the spin parameter upto $a/M \sim 0.99$ one may conclude that the effects
of parameters of RGI Schwarzschild black hole on the circular orbits of the
neutral particles can not mimic the Kerr black hole. Then the Hamilton-Jacobi
equation has been used to analyze the charged and magnetized particles motion
near the RGI black hole in the presence of the strong interaction between
external asymptotically uniform magnetic (electromagnetic) field and magnetized
(electrically charged) particle. We have shown that RGI black hole parameters
quantitatively change the dynamics of the charged and magnetized particles, in
particular ISCO radius of the particles decreases with increasing the parameter
$\lambda$, while the increase of the parameter $\gamma$ causes to increase of
it.
